diff --git a/src/compiler/checker.ts b/src/compiler/checker.ts
index 34454f3906e..9e1086a98e5 100644
--- a/src/compiler/checker.ts
+++ b/src/compiler/checker.ts
@@ -48798,11 +48798,11 @@ export function createTypeChecker(host: TypeCheckerHost): TypeChecker {
                     }
                 }
                 switch (modifier.kind) {
-                    case SyntaxKind.ConstKeyword:
+                    case SyntaxKind.ConstKeyword: {
                         if (node.kind !== SyntaxKind.EnumDeclaration && node.kind !== SyntaxKind.TypeParameter) {
                             return grammarErrorOnNode(node, Diagnostics.A_class_member_cannot_have_the_0_keyword, tokenToString(SyntaxKind.ConstKeyword));
                         }
-                        const parent = node.parent;
+                        const parent = (isJSDocTemplateTag(node.parent) && getEffectiveJSDocHost(node.parent)) || node.parent;
                         if (
                             node.kind === SyntaxKind.TypeParameter && !(isFunctionLikeDeclaration(parent) || isClassLike(parent) || isFunctionTypeNode(parent) ||
                                 isConstructorTypeNode(parent) || isCallSignatureDeclaration(parent) || isConstructSignatureDeclaration(parent) || isMethodSignature(parent))
@@ -48810,6 +48810,7 @@ export function createTypeChecker(host: TypeCheckerHost): TypeChecker {
                             return grammarErrorOnNode(modifier, Diagnostics._0_modifier_can_only_appear_on_a_type_parameter_of_a_function_method_or_class, tokenToString(modifier.kind));
                         }
                         break;
+                    }
                     case SyntaxKind.OverrideKeyword:
                         // If node.kind === SyntaxKind.Parameter, checkParameter reports an error if it's not a parameter property.
                         if (flags & ModifierFlags.Override) {
@@ -49088,10 +49089,11 @@ export function createTypeChecker(host: TypeCheckerHost): TypeChecker {
                         break;
 
                     case SyntaxKind.InKeyword:
-                    case SyntaxKind.OutKeyword:
+                    case SyntaxKind.OutKeyword: {
                         const inOutFlag = modifier.kind === SyntaxKind.InKeyword ? ModifierFlags.In : ModifierFlags.Out;
                         const inOutText = modifier.kind === SyntaxKind.InKeyword ? "in" : "out";
-                        if (node.kind !== SyntaxKind.TypeParameter || !(isInterfaceDeclaration(node.parent) || isClassLike(node.parent) || isTypeAliasDeclaration(node.parent))) {
+                        const parent = isJSDocTemplateTag(node.parent) && (getEffectiveJSDocHost(node.parent) || find(getJSDocRoot(node.parent)?.tags, isJSDocTypedefTag)) || node.parent;
+                        if (node.kind !== SyntaxKind.TypeParameter || parent && !(isInterfaceDeclaration(parent) || isClassLike(parent) || isTypeAliasDeclaration(parent) || isJSDocTypedefTag(parent))) {
                             return grammarErrorOnNode(modifier, Diagnostics._0_modifier_can_only_appear_on_a_type_parameter_of_a_class_interface_or_type_alias, inOutText);
                         }
                         if (flags & inOutFlag) {
@@ -49102,6 +49104,7 @@ export function createTypeChecker(host: TypeCheckerHost): TypeChecker {
                         }
                         flags |= inOutFlag;
                         break;
+                    }
                 }
             }
         }
diff --git a/src/compiler/parser.ts b/src/compiler/parser.ts
index bdd80887cda..4f68271ccb7 100644
--- a/src/compiler/parser.ts
+++ b/src/compiler/parser.ts
@@ -9710,8 +9710,9 @@ namespace Parser {
                 if (isBracketed) {
                     skipWhitespace();
                 }
-                const name = parseJSDocIdentifierName(Diagnostics.Unexpected_token_A_type_parameter_name_was_expected_without_curly_braces);
 
+                const modifiers = parseModifiers(/*allowDecorators*/ false, /*permitConstAsModifier*/ true);
+                const name = parseJSDocIdentifierName(Diagnostics.Unexpected_token_A_type_parameter_name_was_expected_without_curly_braces);
                 let defaultType: TypeNode | undefined;
                 if (isBracketed) {
                     skipWhitespace();
@@ -9723,7 +9724,7 @@ namespace Parser {
                 if (nodeIsMissing(name)) {
                     return undefined;
                 }
-                return finishNode(factory.createTypeParameterDeclaration(/*modifiers*/ undefined, name, /*constraint*/ undefined, defaultType), typeParameterPos);
+                return finishNode(factory.createTypeParameterDeclaration(modifiers, name, /*constraint*/ undefined, defaultType), typeParameterPos);
             }
 
             function parseTemplateTagTypeParameters() {
diff --git a/tests/baselines/reference/jsdocTemplateTag6.symbols b/tests/baselines/reference/jsdocTemplateTag6.symbols
new file mode 100644
index 00000000000..105ba2b51f2
--- /dev/null
+++ b/tests/baselines/reference/jsdocTemplateTag6.symbols
@@ -0,0 +1,192 @@
+//// [tests/cases/conformance/jsdoc/jsdocTemplateTag6.ts] ////
+
+=== a.js ===
+/**
+ * @template const T
+ * @param {T} x
+ * @returns {T}
+ */
+function f1(x) {
+>f1 : Symbol(f1, Decl(a.js, 0, 0))
+>x : Symbol(x, Decl(a.js, 5, 12))
+
+    return x;
+>x : Symbol(x, Decl(a.js, 5, 12))
+}
+const t1 = f1("a");
+>t1 : Symbol(t1, Decl(a.js, 8, 5))
+>f1 : Symbol(f1, Decl(a.js, 0, 0))
+
+const t2 = f1(["a", ["b", "c"]]);
+>t2 : Symbol(t2, Decl(a.js, 9, 5))
+>f1 : Symbol(f1, Decl(a.js, 0, 0))
+
+const t3 = f1({ a: 1, b: "c", d: ["e", 2, true, { f: "g" }] });
+>t3 : Symbol(t3, Decl(a.js, 10, 5))
+>f1 : Symbol(f1, Decl(a.js, 0, 0))
+>a : Symbol(a, Decl(a.js, 10, 15))
+>b : Symbol(b, Decl(a.js, 10, 21))
+>d : Symbol(d, Decl(a.js, 10, 29))
+>f : Symbol(f, Decl(a.js, 10, 49))
+
+/**
+ * @template const T, U
+ * @param {T} x
+ * @returns {T}
+ */
+function f2(x) {
+>f2 : Symbol(f2, Decl(a.js, 10, 63))
+>x : Symbol(x, Decl(a.js, 17, 12))
+
+    return x;
+>x : Symbol(x, Decl(a.js, 17, 12))
+
+};
+const t4 = f2('a');
+>t4 : Symbol(t4, Decl(a.js, 20, 5))
+>f2 : Symbol(f2, Decl(a.js, 10, 63))
+
+const t5 = f2(['a', ['b', 'c']]);
+>t5 : Symbol(t5, Decl(a.js, 21, 5))
+>f2 : Symbol(f2, Decl(a.js, 10, 63))
+
+const t6 = f2({ a: 1, b: "c", d: ["e", 2, true, { f: "g" }] });
+>t6 : Symbol(t6, Decl(a.js, 22, 5))
+>f2 : Symbol(f2, Decl(a.js, 10, 63))
+>a : Symbol(a, Decl(a.js, 22, 15))
+>b : Symbol(b, Decl(a.js, 22, 21))
+>d : Symbol(d, Decl(a.js, 22, 29))
+>f : Symbol(f, Decl(a.js, 22, 49))
+
+/**
+ * @template const T
+ * @param {T} x
+ * @returns {T[]}
+ */
+function f3(x) {
+>f3 : Symbol(f3, Decl(a.js, 22, 63))
+>x : Symbol(x, Decl(a.js, 29, 12))
+
+    return [x];
+>x : Symbol(x, Decl(a.js, 29, 12))
+}
+const t7 = f3("hello");
+>t7 : Symbol(t7, Decl(a.js, 32, 5))
+>f3 : Symbol(f3, Decl(a.js, 22, 63))
+
+const t8 = f3("hello");
+>t8 : Symbol(t8, Decl(a.js, 33, 5))
+>f3 : Symbol(f3, Decl(a.js, 22, 63))
+
+/**
+ * @template const T
+ * @param {[T, T]} x
+ * @returns {T}
+ */
+function f4(x) {
+>f4 : Symbol(f4, Decl(a.js, 33, 23))
+>x : Symbol(x, Decl(a.js, 40, 12))
+
+    return x[0];
+>x : Symbol(x, Decl(a.js, 40, 12))
+>0 : Symbol(0)
+}
+const t9 = f4([[1, "x"], [2, "y"]]);
+>t9 : Symbol(t9, Decl(a.js, 43, 5))
+>f4 : Symbol(f4, Decl(a.js, 33, 23))
+
+const t10 = f4([{ a: 1, b: "x" }, { a: 2, b: "y" }]);
+>t10 : Symbol(t10, Decl(a.js, 44, 5))
+>f4 : Symbol(f4, Decl(a.js, 33, 23))
+>a : Symbol(a, Decl(a.js, 44, 17))
+>b : Symbol(b, Decl(a.js, 44, 23))
+>a : Symbol(a, Decl(a.js, 44, 35))
+>b : Symbol(b, Decl(a.js, 44, 41))
+
+/**
+ * @template const T
+ * @param {{ x: T, y: T}} obj
+ * @returns {T}
+ */
+function f5(obj) {
+>f5 : Symbol(f5, Decl(a.js, 44, 53))
+>obj : Symbol(obj, Decl(a.js, 51, 12))
+
+    return obj.x;
+>obj.x : Symbol(x, Decl(a.js, 48, 12))
+>obj : Symbol(obj, Decl(a.js, 51, 12))
+>x : Symbol(x, Decl(a.js, 48, 12))
+}
+const t11 = f5({ x: [1, "x"], y: [2, "y"] });
+>t11 : Symbol(t11, Decl(a.js, 54, 5))
+>f5 : Symbol(f5, Decl(a.js, 44, 53))
+>x : Symbol(x, Decl(a.js, 54, 16))
+>y : Symbol(y, Decl(a.js, 54, 29))
+
+const t12 = f5({ x: { a: 1, b: "x" }, y: { a: 2, b: "y" } });
+>t12 : Symbol(t12, Decl(a.js, 55, 5))
+>f5 : Symbol(f5, Decl(a.js, 44, 53))
+>x : Symbol(x, Decl(a.js, 55, 16))
+>a : Symbol(a, Decl(a.js, 55, 21))
+>b : Symbol(b, Decl(a.js, 55, 27))
+>y : Symbol(y, Decl(a.js, 55, 37))
+>a : Symbol(a, Decl(a.js, 55, 42))
+>b : Symbol(b, Decl(a.js, 55, 48))
+
+/**
+ * @template const T
+ */
+class C {
+>C : Symbol(C, Decl(a.js, 55, 61))
+
+    /**
+     * @param {T} x
+     */
+    constructor(x) {}
+>x : Symbol(x, Decl(a.js, 64, 16))
+
+    /**
+     * @template const U
+     * @param {U} x
+     */
+    foo(x) {
+>foo : Symbol(C.foo, Decl(a.js, 64, 21))
+>x : Symbol(x, Decl(a.js, 70, 8))
+
+        return x;
+>x : Symbol(x, Decl(a.js, 70, 8))
+    }
+}
+
+const t13 = new C({ a: 1, b: "c", d: ["e", 2, true, { f: "g" }] });
+>t13 : Symbol(t13, Decl(a.js, 75, 5))
+>C : Symbol(C, Decl(a.js, 55, 61))
+>a : Symbol(a, Decl(a.js, 75, 19))
+>b : Symbol(b, Decl(a.js, 75, 25))
+>d : Symbol(d, Decl(a.js, 75, 33))
+>f : Symbol(f, Decl(a.js, 75, 53))
+
+const t14 = t13.foo(["a", ["b", "c"]]);
+>t14 : Symbol(t14, Decl(a.js, 76, 5))
+>t13.foo : Symbol(C.foo, Decl(a.js, 64, 21))
+>t13 : Symbol(t13, Decl(a.js, 75, 5))
+>foo : Symbol(C.foo, Decl(a.js, 64, 21))
+
+/**
+ * @template {readonly unknown[]} const T
+ * @param {T} args
+ * @returns {T}
+ */
+function f6(...args) {
+>f6 : Symbol(f6, Decl(a.js, 76, 39))
+>args : Symbol(args, Decl(a.js, 83, 12))
+
+    return args;
+>args : Symbol(args, Decl(a.js, 83, 12))
+}
+const t15 = f6(1, 'b', { a: 1, b: 'x' });
+>t15 : Symbol(t15, Decl(a.js, 86, 5))
+>f6 : Symbol(f6, Decl(a.js, 76, 39))
+>a : Symbol(a, Decl(a.js, 86, 24))
+>b : Symbol(b, Decl(a.js, 86, 30))
+
diff --git a/tests/baselines/reference/jsdocTemplateTag6.types b/tests/baselines/reference/jsdocTemplateTag6.types
new file mode 100644
index 00000000000..2ba325b6856
--- /dev/null
+++ b/tests/baselines/reference/jsdocTemplateTag6.types
@@ -0,0 +1,288 @@
+//// [tests/cases/conformance/jsdoc/jsdocTemplateTag6.ts] ////
+
+=== a.js ===
+/**
+ * @template const T
+ * @param {T} x
+ * @returns {T}
+ */
+function f1(x) {
+>f1 : <const T>(x: T) => T
+>x : T
+
+    return x;
+>x : T
+}
+const t1 = f1("a");
+>t1 : "a"
+>f1("a") : "a"
+>f1 : <const T>(x: T) => T
+>"a" : "a"
+
+const t2 = f1(["a", ["b", "c"]]);
+>t2 : readonly ["a", readonly ["b", "c"]]
+>f1(["a", ["b", "c"]]) : readonly ["a", readonly ["b", "c"]]
+>f1 : <const T>(x: T) => T
+>["a", ["b", "c"]] : ["a", ["b", "c"]]
+>"a" : "a"
+>["b", "c"] : ["b", "c"]
+>"b" : "b"
+>"c" : "c"
+
+const t3 = f1({ a: 1, b: "c", d: ["e", 2, true, { f: "g" }] });
+>t3 : { readonly a: 1; readonly b: "c"; readonly d: readonly ["e", 2, true, { readonly f: "g"; }]; }
+>f1({ a: 1, b: "c", d: ["e", 2, true, { f: "g" }] }) : { readonly a: 1; readonly b: "c"; readonly d: readonly ["e", 2, true, { readonly f: "g"; }]; }
+>f1 : <const T>(x: T) => T
+>{ a: 1, b: "c", d: ["e", 2, true, { f: "g" }] } : { a: 1; b: "c"; d: ["e", 2, true, { f: "g"; }]; }
+>a : 1
+>1 : 1
+>b : "c"
+>"c" : "c"
+>d : ["e", 2, true, { f: "g"; }]
+>["e", 2, true, { f: "g" }] : ["e", 2, true, { f: "g"; }]
+>"e" : "e"
+>2 : 2
+>true : true
+>{ f: "g" } : { f: "g"; }
+>f : "g"
+>"g" : "g"
+
+/**
+ * @template const T, U
+ * @param {T} x
+ * @returns {T}
+ */
+function f2(x) {
+>f2 : <const T, U>(x: T) => T
+>x : T
+
+    return x;
+>x : T
+
+};
+const t4 = f2('a');
+>t4 : "a"
+>f2('a') : "a"
+>f2 : <const T, U>(x: T) => T
+>'a' : "a"
+
+const t5 = f2(['a', ['b', 'c']]);
+>t5 : readonly ["a", readonly ["b", "c"]]
+>f2(['a', ['b', 'c']]) : readonly ["a", readonly ["b", "c"]]
+>f2 : <const T, U>(x: T) => T
+>['a', ['b', 'c']] : ["a", ["b", "c"]]
+>'a' : "a"
+>['b', 'c'] : ["b", "c"]
+>'b' : "b"
+>'c' : "c"
+
+const t6 = f2({ a: 1, b: "c", d: ["e", 2, true, { f: "g" }] });
+>t6 : { readonly a: 1; readonly b: "c"; readonly d: readonly ["e", 2, true, { readonly f: "g"; }]; }
+>f2({ a: 1, b: "c", d: ["e", 2, true, { f: "g" }] }) : { readonly a: 1; readonly b: "c"; readonly d: readonly ["e", 2, true, { readonly f: "g"; }]; }
+>f2 : <const T, U>(x: T) => T
+>{ a: 1, b: "c", d: ["e", 2, true, { f: "g" }] } : { a: 1; b: "c"; d: ["e", 2, true, { f: "g"; }]; }
+>a : 1
+>1 : 1
+>b : "c"
+>"c" : "c"
+>d : ["e", 2, true, { f: "g"; }]
+>["e", 2, true, { f: "g" }] : ["e", 2, true, { f: "g"; }]
+>"e" : "e"
+>2 : 2
+>true : true
+>{ f: "g" } : { f: "g"; }
+>f : "g"
+>"g" : "g"
+
+/**
+ * @template const T
+ * @param {T} x
+ * @returns {T[]}
+ */
+function f3(x) {
+>f3 : <const T>(x: T) => T[]
+>x : T
+
+    return [x];
+>[x] : T[]
+>x : T
+}
+const t7 = f3("hello");
+>t7 : "hello"[]
+>f3("hello") : "hello"[]
+>f3 : <const T>(x: T) => T[]
+>"hello" : "hello"
+
+const t8 = f3("hello");
+>t8 : "hello"[]
+>f3("hello") : "hello"[]
+>f3 : <const T>(x: T) => T[]
+>"hello" : "hello"
+
+/**
+ * @template const T
+ * @param {[T, T]} x
+ * @returns {T}
+ */
+function f4(x) {
+>f4 : <const T>(x: [T, T]) => T
+>x : [T, T]
+
+    return x[0];
+>x[0] : T
+>x : [T, T]
+>0 : 0
+}
+const t9 = f4([[1, "x"], [2, "y"]]);
+>t9 : readonly [1, "x"] | readonly [2, "y"]
+>f4([[1, "x"], [2, "y"]]) : readonly [1, "x"] | readonly [2, "y"]
+>f4 : <const T>(x: [T, T]) => T
+>[[1, "x"], [2, "y"]] : [[1, "x"], [2, "y"]]
+>[1, "x"] : [1, "x"]
+>1 : 1
+>"x" : "x"
+>[2, "y"] : [2, "y"]
+>2 : 2
+>"y" : "y"
+
+const t10 = f4([{ a: 1, b: "x" }, { a: 2, b: "y" }]);
+>t10 : { readonly a: 1; readonly b: "x"; } | { readonly a: 2; readonly b: "y"; }
+>f4([{ a: 1, b: "x" }, { a: 2, b: "y" }]) : { readonly a: 1; readonly b: "x"; } | { readonly a: 2; readonly b: "y"; }
+>f4 : <const T>(x: [T, T]) => T
+>[{ a: 1, b: "x" }, { a: 2, b: "y" }] : [{ a: 1; b: "x"; }, { a: 2; b: "y"; }]
+>{ a: 1, b: "x" } : { a: 1; b: "x"; }
+>a : 1
+>1 : 1
+>b : "x"
+>"x" : "x"
+>{ a: 2, b: "y" } : { a: 2; b: "y"; }
+>a : 2
+>2 : 2
+>b : "y"
+>"y" : "y"
+
+/**
+ * @template const T
+ * @param {{ x: T, y: T}} obj
+ * @returns {T}
+ */
+function f5(obj) {
+>f5 : <const T>(obj: {    x: T;    y: T;}) => T
+>obj : { x: T; y: T; }
+
+    return obj.x;
+>obj.x : T
+>obj : { x: T; y: T; }
+>x : T
+}
+const t11 = f5({ x: [1, "x"], y: [2, "y"] });
+>t11 : readonly [1, "x"] | readonly [2, "y"]
+>f5({ x: [1, "x"], y: [2, "y"] }) : readonly [1, "x"] | readonly [2, "y"]
+>f5 : <const T>(obj: { x: T; y: T; }) => T
+>{ x: [1, "x"], y: [2, "y"] } : { x: [1, "x"]; y: [2, "y"]; }
+>x : [1, "x"]
+>[1, "x"] : [1, "x"]
+>1 : 1
+>"x" : "x"
+>y : [2, "y"]
+>[2, "y"] : [2, "y"]
+>2 : 2
+>"y" : "y"
+
+const t12 = f5({ x: { a: 1, b: "x" }, y: { a: 2, b: "y" } });
+>t12 : { readonly a: 1; readonly b: "x"; } | { readonly a: 2; readonly b: "y"; }
+>f5({ x: { a: 1, b: "x" }, y: { a: 2, b: "y" } }) : { readonly a: 1; readonly b: "x"; } | { readonly a: 2; readonly b: "y"; }
+>f5 : <const T>(obj: { x: T; y: T; }) => T
+>{ x: { a: 1, b: "x" }, y: { a: 2, b: "y" } } : { x: { a: 1; b: "x"; }; y: { a: 2; b: "y"; }; }
+>x : { a: 1; b: "x"; }
+>{ a: 1, b: "x" } : { a: 1; b: "x"; }
+>a : 1
+>1 : 1
+>b : "x"
+>"x" : "x"
+>y : { a: 2; b: "y"; }
+>{ a: 2, b: "y" } : { a: 2; b: "y"; }
+>a : 2
+>2 : 2
+>b : "y"
+>"y" : "y"
+
+/**
+ * @template const T
+ */
+class C {
+>C : C<T>
+
+    /**
+     * @param {T} x
+     */
+    constructor(x) {}
+>x : T
+
+    /**
+     * @template const U
+     * @param {U} x
+     */
+    foo(x) {
+>foo : <const U>(x: U) => U
+>x : U
+
+        return x;
+>x : U
+    }
+}
+
+const t13 = new C({ a: 1, b: "c", d: ["e", 2, true, { f: "g" }] });
+>t13 : C<{ readonly a: 1; readonly b: "c"; readonly d: readonly ["e", 2, true, { readonly f: "g"; }]; }>
+>new C({ a: 1, b: "c", d: ["e", 2, true, { f: "g" }] }) : C<{ readonly a: 1; readonly b: "c"; readonly d: readonly ["e", 2, true, { readonly f: "g"; }]; }>
+>C : typeof C
+>{ a: 1, b: "c", d: ["e", 2, true, { f: "g" }] } : { a: 1; b: "c"; d: ["e", 2, true, { f: "g"; }]; }
+>a : 1
+>1 : 1
+>b : "c"
+>"c" : "c"
+>d : ["e", 2, true, { f: "g"; }]
+>["e", 2, true, { f: "g" }] : ["e", 2, true, { f: "g"; }]
+>"e" : "e"
+>2 : 2
+>true : true
+>{ f: "g" } : { f: "g"; }
+>f : "g"
+>"g" : "g"
+
+const t14 = t13.foo(["a", ["b", "c"]]);
+>t14 : readonly ["a", readonly ["b", "c"]]
+>t13.foo(["a", ["b", "c"]]) : readonly ["a", readonly ["b", "c"]]
+>t13.foo : <const U>(x: U) => U
+>t13 : C<{ readonly a: 1; readonly b: "c"; readonly d: readonly ["e", 2, true, { readonly f: "g"; }]; }>
+>foo : <const U>(x: U) => U
+>["a", ["b", "c"]] : ["a", ["b", "c"]]
+>"a" : "a"
+>["b", "c"] : ["b", "c"]
+>"b" : "b"
+>"c" : "c"
+
+/**
+ * @template {readonly unknown[]} const T
+ * @param {T} args
+ * @returns {T}
+ */
+function f6(...args) {
+>f6 : <const T extends readonly unknown[]>(...args: T) => T
+>args : T
+
+    return args;
+>args : T
+}
+const t15 = f6(1, 'b', { a: 1, b: 'x' });
+>t15 : readonly [1, "b", { readonly a: 1; readonly b: "x"; }]
+>f6(1, 'b', { a: 1, b: 'x' }) : readonly [1, "b", { readonly a: 1; readonly b: "x"; }]
+>f6 : <const T extends readonly unknown[]>(...args: T) => T
+>1 : 1
+>'b' : "b"
+>{ a: 1, b: 'x' } : { a: 1; b: "x"; }
+>a : 1
+>1 : 1
+>b : "x"
+>'x' : "x"
+
diff --git a/tests/baselines/reference/jsdocTemplateTag7.errors.txt b/tests/baselines/reference/jsdocTemplateTag7.errors.txt
new file mode 100644
index 00000000000..6d5770242ed
--- /dev/null
+++ b/tests/baselines/reference/jsdocTemplateTag7.errors.txt
@@ -0,0 +1,28 @@
+a.js(2,14): error TS1277: 'const' modifier can only appear on a type parameter of a function, method or class
+a.js(12,14): error TS1273: 'private' modifier cannot appear on a type parameter
+
+
+==== a.js (2 errors) ====
+    /**
+     * @template const T
+                 ~~~~~
+!!! error TS1277: 'const' modifier can only appear on a type parameter of a function, method or class
+     * @typedef {[T]} X
+     */
+    
+    /**
+     * @template const T
+     */
+    class C { }
+    
+    /**
+     * @template private T
+                 ~~~~~~~
+!!! error TS1273: 'private' modifier cannot appear on a type parameter
+     * @param {T} x
+     * @returns {T}
+     */
+    function f(x) {
+        return x;
+    }
+    
\ No newline at end of file
diff --git a/tests/baselines/reference/jsdocTemplateTag7.symbols b/tests/baselines/reference/jsdocTemplateTag7.symbols
new file mode 100644
index 00000000000..2d734a70fbb
--- /dev/null
+++ b/tests/baselines/reference/jsdocTemplateTag7.symbols
@@ -0,0 +1,27 @@
+//// [tests/cases/conformance/jsdoc/jsdocTemplateTag7.ts] ////
+
+=== a.js ===
+/**
+ * @template const T
+ * @typedef {[T]} X
+ */
+
+/**
+ * @template const T
+ */
+class C { }
+>C : Symbol(C, Decl(a.js, 0, 0))
+
+/**
+ * @template private T
+ * @param {T} x
+ * @returns {T}
+ */
+function f(x) {
+>f : Symbol(f, Decl(a.js, 8, 11))
+>x : Symbol(x, Decl(a.js, 15, 11))
+
+    return x;
+>x : Symbol(x, Decl(a.js, 15, 11))
+}
+
diff --git a/tests/baselines/reference/jsdocTemplateTag7.types b/tests/baselines/reference/jsdocTemplateTag7.types
new file mode 100644
index 00000000000..7a49d72b4a4
--- /dev/null
+++ b/tests/baselines/reference/jsdocTemplateTag7.types
@@ -0,0 +1,27 @@
+//// [tests/cases/conformance/jsdoc/jsdocTemplateTag7.ts] ////
+
+=== a.js ===
+/**
+ * @template const T
+ * @typedef {[T]} X
+ */
+
+/**
+ * @template const T
+ */
+class C { }
+>C : C<T>
+
+/**
+ * @template private T
+ * @param {T} x
+ * @returns {T}
+ */
+function f(x) {
+>f : <T>(x: T) => T
+>x : T
+
+    return x;
+>x : T
+}
+
diff --git a/tests/baselines/reference/jsdocTemplateTag8.errors.txt b/tests/baselines/reference/jsdocTemplateTag8.errors.txt
new file mode 100644
index 00000000000..1c592ae2318
--- /dev/null
+++ b/tests/baselines/reference/jsdocTemplateTag8.errors.txt
@@ -0,0 +1,97 @@
+a.js(18,1): error TS2322: Type 'Covariant<unknown>' is not assignable to type 'Covariant<string>'.
+  Type 'unknown' is not assignable to type 'string'.
+a.js(36,1): error TS2322: Type 'Contravariant<string>' is not assignable to type 'Contravariant<unknown>'.
+  Type 'unknown' is not assignable to type 'string'.
+a.js(55,1): error TS2322: Type 'Invariant<string>' is not assignable to type 'Invariant<unknown>'.
+  Types of property 'f' are incompatible.
+    Type '(x: string) => string' is not assignable to type '(x: unknown) => unknown'.
+      Types of parameters 'x' and 'x' are incompatible.
+        Type 'unknown' is not assignable to type 'string'.
+a.js(56,1): error TS2322: Type 'Invariant<unknown>' is not assignable to type 'Invariant<string>'.
+  The types returned by 'f(...)' are incompatible between these types.
+    Type 'unknown' is not assignable to type 'string'.
+a.js(59,14): error TS1274: 'in' modifier can only appear on a type parameter of a class, interface or type alias
+
+
+==== a.js (5 errors) ====
+    /**
+     * @template out T
+     * @typedef {Object} Covariant
+     * @property {T} x
+     */
+    
+    /**
+     * @type {Covariant<unknown>}
+     */
+    let super_covariant = { x: 1 };
+    
+    /**
+     * @type {Covariant<string>}
+     */
+    let sub_covariant = { x: '' };
+    
+    super_covariant = sub_covariant;
+    sub_covariant   = super_covariant; // Error
+    ~~~~~~~~~~~~~
+!!! error TS2322: Type 'Covariant<unknown>' is not assignable to type 'Covariant<string>'.
+!!! error TS2322:   Type 'unknown' is not assignable to type 'string'.
+    
+    /**
+     * @template in T
+     * @typedef {Object} Contravariant
+     * @property {(x: T) => void} f
+     */
+    
+    /**
+     * @type {Contravariant<unknown>}
+     */
+    let super_contravariant = { f: (x) => {} };
+    
+    /**
+     * @type {Contravariant<string>}
+     */
+    let sub_contravariant = { f: (x) => {} };
+    
+    super_contravariant = sub_contravariant;  // Error
+    ~~~~~~~~~~~~~~~~~~~
+!!! error TS2322: Type 'Contravariant<string>' is not assignable to type 'Contravariant<unknown>'.
+!!! error TS2322:   Type 'unknown' is not assignable to type 'string'.
+    sub_contravariant = super_contravariant;
+    
+    /**
+     * @template in out T
+     * @typedef {Object} Invariant
+     * @property {(x: T) => T} f
+     */
+    
+    /**
+     * @type {Invariant<unknown>}
+     */
+    let super_invariant = { f: (x) => {} };
+    
+    /**
+     * @type {Invariant<string>}
+     */
+    let sub_invariant = { f: (x) => { return "" } };
+    
+    super_invariant = sub_invariant;  // Error
+    ~~~~~~~~~~~~~~~
+!!! error TS2322: Type 'Invariant<string>' is not assignable to type 'Invariant<unknown>'.
+!!! error TS2322:   Types of property 'f' are incompatible.
+!!! error TS2322:     Type '(x: string) => string' is not assignable to type '(x: unknown) => unknown'.
+!!! error TS2322:       Types of parameters 'x' and 'x' are incompatible.
+!!! error TS2322:         Type 'unknown' is not assignable to type 'string'.
+    sub_invariant = super_invariant;  // Error
+    ~~~~~~~~~~~~~
+!!! error TS2322: Type 'Invariant<unknown>' is not assignable to type 'Invariant<string>'.
+!!! error TS2322:   The types returned by 'f(...)' are incompatible between these types.
+!!! error TS2322:     Type 'unknown' is not assignable to type 'string'.
+    
+    /**
+     * @template in T
+                 ~~
+!!! error TS1274: 'in' modifier can only appear on a type parameter of a class, interface or type alias
+     * @param {T} x
+     */
+    function f(x) {}
+    
\ No newline at end of file
diff --git a/tests/baselines/reference/jsdocTemplateTag8.symbols b/tests/baselines/reference/jsdocTemplateTag8.symbols
new file mode 100644
index 00000000000..5b6d103ed02
--- /dev/null
+++ b/tests/baselines/reference/jsdocTemplateTag8.symbols
@@ -0,0 +1,99 @@
+//// [tests/cases/conformance/jsdoc/jsdocTemplateTag8.ts] ////
+
+=== a.js ===
+/**
+ * @template out T
+ * @typedef {Object} Covariant
+ * @property {T} x
+ */
+
+/**
+ * @type {Covariant<unknown>}
+ */
+let super_covariant = { x: 1 };
+>super_covariant : Symbol(super_covariant, Decl(a.js, 9, 3))
+>x : Symbol(x, Decl(a.js, 9, 23))
+
+/**
+ * @type {Covariant<string>}
+ */
+let sub_covariant = { x: '' };
+>sub_covariant : Symbol(sub_covariant, Decl(a.js, 14, 3))
+>x : Symbol(x, Decl(a.js, 14, 21))
+
+super_covariant = sub_covariant;
+>super_covariant : Symbol(super_covariant, Decl(a.js, 9, 3))
+>sub_covariant : Symbol(sub_covariant, Decl(a.js, 14, 3))
+
+sub_covariant   = super_covariant; // Error
+>sub_covariant : Symbol(sub_covariant, Decl(a.js, 14, 3))
+>super_covariant : Symbol(super_covariant, Decl(a.js, 9, 3))
+
+/**
+ * @template in T
+ * @typedef {Object} Contravariant
+ * @property {(x: T) => void} f
+ */
+
+/**
+ * @type {Contravariant<unknown>}
+ */
+let super_contravariant = { f: (x) => {} };
+>super_contravariant : Symbol(super_contravariant, Decl(a.js, 28, 3))
+>f : Symbol(f, Decl(a.js, 28, 27))
+>x : Symbol(x, Decl(a.js, 28, 32))
+
+/**
+ * @type {Contravariant<string>}
+ */
+let sub_contravariant = { f: (x) => {} };
+>sub_contravariant : Symbol(sub_contravariant, Decl(a.js, 33, 3))
+>f : Symbol(f, Decl(a.js, 33, 25))
+>x : Symbol(x, Decl(a.js, 33, 30))
+
+super_contravariant = sub_contravariant;  // Error
+>super_contravariant : Symbol(super_contravariant, Decl(a.js, 28, 3))
+>sub_contravariant : Symbol(sub_contravariant, Decl(a.js, 33, 3))
+
+sub_contravariant = super_contravariant;
+>sub_contravariant : Symbol(sub_contravariant, Decl(a.js, 33, 3))
+>super_contravariant : Symbol(super_contravariant, Decl(a.js, 28, 3))
+
+/**
+ * @template in out T
+ * @typedef {Object} Invariant
+ * @property {(x: T) => T} f
+ */
+
+/**
+ * @type {Invariant<unknown>}
+ */
+let super_invariant = { f: (x) => {} };
+>super_invariant : Symbol(super_invariant, Decl(a.js, 47, 3))
+>f : Symbol(f, Decl(a.js, 47, 23))
+>x : Symbol(x, Decl(a.js, 47, 28))
+
+/**
+ * @type {Invariant<string>}
+ */
+let sub_invariant = { f: (x) => { return "" } };
+>sub_invariant : Symbol(sub_invariant, Decl(a.js, 52, 3))
+>f : Symbol(f, Decl(a.js, 52, 21))
+>x : Symbol(x, Decl(a.js, 52, 26))
+
+super_invariant = sub_invariant;  // Error
+>super_invariant : Symbol(super_invariant, Decl(a.js, 47, 3))
+>sub_invariant : Symbol(sub_invariant, Decl(a.js, 52, 3))
+
+sub_invariant = super_invariant;  // Error
+>sub_invariant : Symbol(sub_invariant, Decl(a.js, 52, 3))
+>super_invariant : Symbol(super_invariant, Decl(a.js, 47, 3))
+
+/**
+ * @template in T
+ * @param {T} x
+ */
+function f(x) {}
+>f : Symbol(f, Decl(a.js, 55, 32))
+>x : Symbol(x, Decl(a.js, 61, 11))
+
diff --git a/tests/baselines/reference/jsdocTemplateTag8.types b/tests/baselines/reference/jsdocTemplateTag8.types
new file mode 100644
index 00000000000..d085ff77d0e
--- /dev/null
+++ b/tests/baselines/reference/jsdocTemplateTag8.types
@@ -0,0 +1,118 @@
+//// [tests/cases/conformance/jsdoc/jsdocTemplateTag8.ts] ////
+
+=== a.js ===
+/**
+ * @template out T
+ * @typedef {Object} Covariant
+ * @property {T} x
+ */
+
+/**
+ * @type {Covariant<unknown>}
+ */
+let super_covariant = { x: 1 };
+>super_covariant : Covariant<unknown>
+>{ x: 1 } : { x: number; }
+>x : number
+>1 : 1
+
+/**
+ * @type {Covariant<string>}
+ */
+let sub_covariant = { x: '' };
+>sub_covariant : Covariant<string>
+>{ x: '' } : { x: string; }
+>x : string
+>'' : ""
+
+super_covariant = sub_covariant;
+>super_covariant = sub_covariant : Covariant<string>
+>super_covariant : Covariant<unknown>
+>sub_covariant : Covariant<string>
+
+sub_covariant   = super_covariant; // Error
+>sub_covariant   = super_covariant : Covariant<unknown>
+>sub_covariant : Covariant<string>
+>super_covariant : Covariant<unknown>
+
+/**
+ * @template in T
+ * @typedef {Object} Contravariant
+ * @property {(x: T) => void} f
+ */
+
+/**
+ * @type {Contravariant<unknown>}
+ */
+let super_contravariant = { f: (x) => {} };
+>super_contravariant : Contravariant<unknown>
+>{ f: (x) => {} } : { f: (x: unknown) => void; }
+>f : (x: unknown) => void
+>(x) => {} : (x: unknown) => void
+>x : unknown
+
+/**
+ * @type {Contravariant<string>}
+ */
+let sub_contravariant = { f: (x) => {} };
+>sub_contravariant : Contravariant<string>
+>{ f: (x) => {} } : { f: (x: string) => void; }
+>f : (x: string) => void
+>(x) => {} : (x: string) => void
+>x : string
+
+super_contravariant = sub_contravariant;  // Error
+>super_contravariant = sub_contravariant : Contravariant<string>
+>super_contravariant : Contravariant<unknown>
+>sub_contravariant : Contravariant<string>
+
+sub_contravariant = super_contravariant;
+>sub_contravariant = super_contravariant : Contravariant<unknown>
+>sub_contravariant : Contravariant<string>
+>super_contravariant : Contravariant<unknown>
+
+/**
+ * @template in out T
+ * @typedef {Object} Invariant
+ * @property {(x: T) => T} f
+ */
+
+/**
+ * @type {Invariant<unknown>}
+ */
+let super_invariant = { f: (x) => {} };
+>super_invariant : Invariant<unknown>
+>{ f: (x) => {} } : { f: (x: unknown) => void; }
+>f : (x: unknown) => void
+>(x) => {} : (x: unknown) => void
+>x : unknown
+
+/**
+ * @type {Invariant<string>}
+ */
+let sub_invariant = { f: (x) => { return "" } };
+>sub_invariant : Invariant<string>
+>{ f: (x) => { return "" } } : { f: (x: string) => string; }
+>f : (x: string) => string
+>(x) => { return "" } : (x: string) => string
+>x : string
+>"" : ""
+
+super_invariant = sub_invariant;  // Error
+>super_invariant = sub_invariant : Invariant<string>
+>super_invariant : Invariant<unknown>
+>sub_invariant : Invariant<string>
+
+sub_invariant = super_invariant;  // Error
+>sub_invariant = super_invariant : Invariant<unknown>
+>sub_invariant : Invariant<string>
+>super_invariant : Invariant<unknown>
+
+/**
+ * @template in T
+ * @param {T} x
+ */
+function f(x) {}
+>f : <in T>(x: T) => void
+>x : T
+
diff --git a/tests/cases/conformance/jsdoc/jsdocTemplateTag6.ts b/tests/cases/conformance/jsdoc/jsdocTemplateTag6.ts
new file mode 100644
index 00000000000..7555c691781
--- /dev/null
+++ b/tests/cases/conformance/jsdoc/jsdocTemplateTag6.ts
@@ -0,0 +1,93 @@
+// @noEmit: true
+// @allowJs: true
+// @checkJs: true
+// @strict: true
+// @Filename: a.js
+
+/**
+ * @template const T
+ * @param {T} x
+ * @returns {T}
+ */
+function f1(x) {
+    return x;
+}
+const t1 = f1("a");
+const t2 = f1(["a", ["b", "c"]]);
+const t3 = f1({ a: 1, b: "c", d: ["e", 2, true, { f: "g" }] });
+
+/**
+ * @template const T, U
+ * @param {T} x
+ * @returns {T}
+ */
+function f2(x) {
+    return x;
+};
+const t4 = f2('a');
+const t5 = f2(['a', ['b', 'c']]);
+const t6 = f2({ a: 1, b: "c", d: ["e", 2, true, { f: "g" }] });
+
+/**
+ * @template const T
+ * @param {T} x
+ * @returns {T[]}
+ */
+function f3(x) {
+    return [x];
+}
+const t7 = f3("hello");
+const t8 = f3("hello");
+
+/**
+ * @template const T
+ * @param {[T, T]} x
+ * @returns {T}
+ */
+function f4(x) {
+    return x[0];
+}
+const t9 = f4([[1, "x"], [2, "y"]]);
+const t10 = f4([{ a: 1, b: "x" }, { a: 2, b: "y" }]);
+
+/**
+ * @template const T
+ * @param {{ x: T, y: T}} obj
+ * @returns {T}
+ */
+function f5(obj) {
+    return obj.x;
+}
+const t11 = f5({ x: [1, "x"], y: [2, "y"] });
+const t12 = f5({ x: { a: 1, b: "x" }, y: { a: 2, b: "y" } });
+
+/**
+ * @template const T
+ */
+class C {
+    /**
+     * @param {T} x
+     */
+    constructor(x) {}
+
+    /**
+     * @template const U
+     * @param {U} x
+     */
+    foo(x) {
+        return x;
+    }
+}
+
+const t13 = new C({ a: 1, b: "c", d: ["e", 2, true, { f: "g" }] });
+const t14 = t13.foo(["a", ["b", "c"]]);
+
+/**
+ * @template {readonly unknown[]} const T
+ * @param {T} args
+ * @returns {T}
+ */
+function f6(...args) {
+    return args;
+}
+const t15 = f6(1, 'b', { a: 1, b: 'x' });
diff --git a/tests/cases/conformance/jsdoc/jsdocTemplateTag7.ts b/tests/cases/conformance/jsdoc/jsdocTemplateTag7.ts
new file mode 100644
index 00000000000..b4f85fb71a1
--- /dev/null
+++ b/tests/cases/conformance/jsdoc/jsdocTemplateTag7.ts
@@ -0,0 +1,24 @@
+// @noEmit: true
+// @allowJs: true
+// @checkJs: true
+// @strict: true
+// @Filename: a.js
+
+/**
+ * @template const T
+ * @typedef {[T]} X
+ */
+
+/**
+ * @template const T
+ */
+class C { }
+
+/**
+ * @template private T
+ * @param {T} x
+ * @returns {T}
+ */
+function f(x) {
+    return x;
+}
diff --git a/tests/cases/conformance/jsdoc/jsdocTemplateTag8.ts b/tests/cases/conformance/jsdoc/jsdocTemplateTag8.ts
new file mode 100644
index 00000000000..3e6c25d2e46
--- /dev/null
+++ b/tests/cases/conformance/jsdoc/jsdocTemplateTag8.ts
@@ -0,0 +1,68 @@
+// @noEmit: true
+// @allowJs: true
+// @checkJs: true
+// @strict: true
+// @Filename: a.js
+
+/**
+ * @template out T
+ * @typedef {Object} Covariant
+ * @property {T} x
+ */
+
+/**
+ * @type {Covariant<unknown>}
+ */
+let super_covariant = { x: 1 };
+
+/**
+ * @type {Covariant<string>}
+ */
+let sub_covariant = { x: '' };
+
+super_covariant = sub_covariant;
+sub_covariant   = super_covariant; // Error
+
+/**
+ * @template in T
+ * @typedef {Object} Contravariant
+ * @property {(x: T) => void} f
+ */
+
+/**
+ * @type {Contravariant<unknown>}
+ */
+let super_contravariant = { f: (x) => {} };
+
+/**
+ * @type {Contravariant<string>}
+ */
+let sub_contravariant = { f: (x) => {} };
+
+super_contravariant = sub_contravariant;  // Error
+sub_contravariant = super_contravariant;
+
+/**
+ * @template in out T
+ * @typedef {Object} Invariant
+ * @property {(x: T) => T} f
+ */
+
+/**
+ * @type {Invariant<unknown>}
+ */
+let super_invariant = { f: (x) => {} };
+
+/**
+ * @type {Invariant<string>}
+ */
+let sub_invariant = { f: (x) => { return "" } };
+
+super_invariant = sub_invariant;  // Error
+sub_invariant = super_invariant;  // Error
+
+/**
+ * @template in T
+ * @param {T} x
+ */
+function f(x) {}