diff --git a/.README/rules/check-template-names.md b/.README/rules/check-template-names.md
index 51e0f377..6c8b4fa3 100644
--- a/.README/rules/check-template-names.md
+++ b/.README/rules/check-template-names.md
@@ -3,7 +3,8 @@
 Checks that any `@template` names are actually used in the connected
 `@typedef` or type alias.
 
-Currently checks `TSInterfaceDeclaration` or `TSTypeAliasDeclaration` such as:
+Currently checks `FunctionDeclaration`, `TSInterfaceDeclaration` or
+`TSTypeAliasDeclaration` such as:
 
 ```ts
 /**
diff --git a/.README/rules/require-template.md b/.README/rules/require-template.md
index 2544f1d9..e8ca4577 100644
--- a/.README/rules/require-template.md
+++ b/.README/rules/require-template.md
@@ -3,7 +3,8 @@
 Checks to see that `@template` tags are present for any detected type
 parameters.
 
-Currently checks `TSInterfaceDeclaration` or `TSTypeAliasDeclaration` such as:
+Currently checks `FunctionDeclaration`, `TSInterfaceDeclaration` or
+`TSTypeAliasDeclaration` such as:
 
 ```ts
 export type Pairs<D, V> = [D, V | undefined];
diff --git a/docs/rules/check-template-names.md b/docs/rules/check-template-names.md
index 7249f041..091ae178 100644
--- a/docs/rules/check-template-names.md
+++ b/docs/rules/check-template-names.md
@@ -5,7 +5,8 @@
 Checks that any `@template` names are actually used in the connected
 `@typedef` or type alias.
 
-Currently checks `TSInterfaceDeclaration` or `TSTypeAliasDeclaration` such as:
+Currently checks `FunctionDeclaration`, `TSInterfaceDeclaration` or
+`TSTypeAliasDeclaration` such as:
 
 ```ts
 /**
@@ -122,6 +123,33 @@ export default interface GenericIdentityFn<Type> {
   (arg: Type): Type;
 }
 // Message: @template D not in use
+
+/**
+ * @template D
+ * @template V
+ */
+function identity<Type>(arg: Type): Type {
+  return arg;
+}
+// Message: @template D not in use
+
+/**
+ * @template D
+ * @template V
+ */
+export function identity<Type>(arg: Type): Type {
+  return arg;
+}
+// Message: @template D not in use
+
+/**
+ * @template D
+ * @template V
+ */
+export default function identity<Type>(arg: Type): Type {
+  return arg;
+}
+// Message: @template D not in use
 ````
 
 
@@ -194,5 +222,26 @@ export interface GenericIdentityFn<Type> {
 export default interface GenericIdentityFn<Type> {
   (arg: Type): Type;
 }
+
+/**
+ * @template Type
+ */
+function identity<Type>(arg: Type): Type {
+  return arg;
+}
+
+/**
+ * @template Type
+ */
+export function identity<Type>(arg: Type): Type {
+  return arg;
+}
+
+/**
+ * @template Type
+ */
+export default function identity<Type>(arg: Type): Type {
+  return arg;
+}
 ````
 
diff --git a/docs/rules/require-template.md b/docs/rules/require-template.md
index 16d8e3f0..b9109c09 100644
--- a/docs/rules/require-template.md
+++ b/docs/rules/require-template.md
@@ -5,7 +5,8 @@
 Checks to see that `@template` tags are present for any detected type
 parameters.
 
-Currently checks `TSInterfaceDeclaration` or `TSTypeAliasDeclaration` such as:
+Currently checks `FunctionDeclaration`, `TSInterfaceDeclaration` or
+`TSTypeAliasDeclaration` such as:
 
 ```ts
 export type Pairs<D, V> = [D, V | undefined];
@@ -138,6 +139,30 @@ export default interface GenericIdentityFn<Type> {
   (arg: Type): Type;
 }
 // Message: Missing @template Type
+
+/**
+ *
+ */
+function identity<Type>(arg: Type): Type {
+  return arg;
+}
+// Message: Missing @template Type
+
+/**
+ *
+ */
+export function identity<Type>(arg: Type): Type {
+  return arg;
+}
+// Message: Missing @template Type
+
+/**
+ *
+ */
+export default function identity<Type>(arg: Type): Type {
+  return arg;
+}
+// Message: Missing @template Type
 ````
 
 
@@ -209,5 +234,26 @@ export interface GenericIdentityFn<Type> {
 export default interface GenericIdentityFn<Type> {
   (arg: Type): Type;
 }
+
+/**
+ * @template Type
+ */
+function identity<Type>(arg: Type): Type {
+  return arg;
+}
+
+/**
+ * @template Type
+ */
+export function identity<Type>(arg: Type): Type {
+  return arg;
+}
+
+/**
+ * @template Type
+ */
+export default function identity<Type>(arg: Type): Type {
+  return arg;
+}
 ````
 
diff --git a/src/rules/checkTemplateNames.js b/src/rules/checkTemplateNames.js
index 9a2914eb..57ecd810 100644
--- a/src/rules/checkTemplateNames.js
+++ b/src/rules/checkTemplateNames.js
@@ -20,7 +20,8 @@ export default iterateJsdoc(({
 
   const usedNames = new Set();
   /**
-   * @param {import('@typescript-eslint/types').TSESTree.TSInterfaceDeclaration|
+   * @param {import('@typescript-eslint/types').TSESTree.FunctionDeclaration|
+   *   import('@typescript-eslint/types').TSESTree.TSInterfaceDeclaration|
    *   import('@typescript-eslint/types').TSESTree.TSTypeAliasDeclaration} aliasDeclaration
    */
   const checkParameters = (aliasDeclaration) => {
@@ -51,12 +52,14 @@ export default iterateJsdoc(({
     case 'ExportDefaultDeclaration':
     case 'ExportNamedDeclaration':
       switch (nde.declaration?.type) {
+        case 'FunctionDeclaration':
         case 'TSTypeAliasDeclaration':
         case 'TSInterfaceDeclaration':
-            checkParameters(nde.declaration);
+          checkParameters(nde.declaration);
           break;
       }
       break;
+    case 'FunctionDeclaration':
     case 'TSTypeAliasDeclaration':
     case 'TSInterfaceDeclaration':
       checkParameters(nde);
diff --git a/src/rules/requireTemplate.js b/src/rules/requireTemplate.js
index ebee54a0..c06da7ed 100644
--- a/src/rules/requireTemplate.js
+++ b/src/rules/requireTemplate.js
@@ -35,7 +35,8 @@ export default iterateJsdoc(({
   }
 
   /**
-   * @param {import('@typescript-eslint/types').TSESTree.TSInterfaceDeclaration|
+   * @param {import('@typescript-eslint/types').TSESTree.FunctionDeclaration|
+   *   import('@typescript-eslint/types').TSESTree.TSInterfaceDeclaration|
    *   import('@typescript-eslint/types').TSESTree.TSTypeAliasDeclaration} aliasDeclaration
    */
   const checkTypeParams = (aliasDeclaration) => {
@@ -61,6 +62,7 @@ export default iterateJsdoc(({
     switch (nde.type) {
     case 'ExportDefaultDeclaration':
       switch (nde.declaration?.type) {
+        case 'FunctionDeclaration':
         case 'TSInterfaceDeclaration':
           checkTypeParams(nde.declaration);
           break;
@@ -68,12 +70,14 @@ export default iterateJsdoc(({
       break;
     case 'ExportNamedDeclaration':
       switch (nde.declaration?.type) {
+      case 'FunctionDeclaration':
       case 'TSTypeAliasDeclaration':
       case 'TSInterfaceDeclaration':
         checkTypeParams(nde.declaration);
         break;
       }
       break;
+    case 'FunctionDeclaration':
     case 'TSTypeAliasDeclaration':
     case 'TSInterfaceDeclaration':
       checkTypeParams(nde);
diff --git a/test/rules/assertions/checkTemplateNames.js b/test/rules/assertions/checkTemplateNames.js
index 254a34f0..91471bc9 100644
--- a/test/rules/assertions/checkTemplateNames.js
+++ b/test/rules/assertions/checkTemplateNames.js
@@ -230,6 +230,78 @@ export default {
         parser: typescriptEslintParser
       },
     },
+    {
+      code: `
+        /**
+         * @template D
+         * @template V
+         */
+        function identity<Type>(arg: Type): Type {
+          return arg;
+        }
+      `,
+      errors: [
+        {
+          line: 3,
+          message: '@template D not in use',
+        },
+        {
+          line: 4,
+          message: '@template V not in use',
+        },
+      ],
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
+    {
+      code: `
+        /**
+         * @template D
+         * @template V
+         */
+        export function identity<Type>(arg: Type): Type {
+          return arg;
+        }
+      `,
+      errors: [
+        {
+          line: 3,
+          message: '@template D not in use',
+        },
+        {
+          line: 4,
+          message: '@template V not in use',
+        },
+      ],
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
+    {
+      code: `
+        /**
+         * @template D
+         * @template V
+         */
+        export default function identity<Type>(arg: Type): Type {
+          return arg;
+        }
+      `,
+      errors: [
+        {
+          line: 3,
+          message: '@template D not in use',
+        },
+        {
+          line: 4,
+          message: '@template V not in use',
+        },
+      ],
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
   ],
   valid: [
     {
@@ -339,5 +411,44 @@ export default {
         parser: typescriptEslintParser
       },
     },
+    {
+      code: `
+        /**
+         * @template Type
+         */
+        function identity<Type>(arg: Type): Type {
+          return arg;
+        }
+      `,
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
+    {
+      code: `
+        /**
+         * @template Type
+         */
+        export function identity<Type>(arg: Type): Type {
+          return arg;
+        }
+      `,
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
+    {
+      code: `
+        /**
+         * @template Type
+         */
+        export default function identity<Type>(arg: Type): Type {
+          return arg;
+        }
+      `,
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
   ],
 };
diff --git a/test/rules/assertions/requireTemplate.js b/test/rules/assertions/requireTemplate.js
index 75677199..8ad9e530 100644
--- a/test/rules/assertions/requireTemplate.js
+++ b/test/rules/assertions/requireTemplate.js
@@ -228,6 +228,63 @@ export default {
         parser: typescriptEslintParser
       },
     },
+    {
+      code: `
+        /**
+         *
+         */
+        function identity<Type>(arg: Type): Type {
+          return arg;
+        }
+      `,
+      errors: [
+        {
+          line: 2,
+          message: 'Missing @template Type',
+        },
+      ],
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
+    {
+      code: `
+        /**
+         *
+         */
+        export function identity<Type>(arg: Type): Type {
+          return arg;
+        }
+      `,
+      errors: [
+        {
+          line: 2,
+          message: 'Missing @template Type',
+        },
+      ],
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
+    {
+      code: `
+        /**
+         *
+         */
+        export default function identity<Type>(arg: Type): Type {
+          return arg;
+        }
+      `,
+      errors: [
+        {
+          line: 2,
+          message: 'Missing @template Type',
+        },
+      ],
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
   ],
   valid: [
     {
@@ -336,5 +393,44 @@ export default {
         parser: typescriptEslintParser
       },
     },
+    {
+      code: `
+        /**
+         * @template Type
+         */
+        function identity<Type>(arg: Type): Type {
+          return arg;
+        }
+      `,
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
+    {
+      code: `
+        /**
+         * @template Type
+         */
+        export function identity<Type>(arg: Type): Type {
+          return arg;
+        }
+      `,
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
+    {
+      code: `
+        /**
+         * @template Type
+         */
+        export default function identity<Type>(arg: Type): Type {
+          return arg;
+        }
+      `,
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
   ],
 };