diff --git a/.README/rules/check-template-names.md b/.README/rules/check-template-names.md
index f6a8832d..51e0f377 100644
--- a/.README/rules/check-template-names.md
+++ b/.README/rules/check-template-names.md
@@ -3,7 +3,7 @@
 Checks that any `@template` names are actually used in the connected
 `@typedef` or type alias.
 
-Currently checks `TSTypeAliasDeclaration` such as:
+Currently checks `TSInterfaceDeclaration` or `TSTypeAliasDeclaration` such as:
 
 ```ts
 /**
diff --git a/.README/rules/require-template.md b/.README/rules/require-template.md
index 73bff6b8..2544f1d9 100644
--- a/.README/rules/require-template.md
+++ b/.README/rules/require-template.md
@@ -3,7 +3,7 @@
 Checks to see that `@template` tags are present for any detected type
 parameters.
 
-Currently checks `TSTypeAliasDeclaration` such as:
+Currently checks `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 eecdc360..7249f041 100644
--- a/docs/rules/check-template-names.md
+++ b/docs/rules/check-template-names.md
@@ -5,7 +5,7 @@
 Checks that any `@template` names are actually used in the connected
 `@typedef` or type alias.
 
-Currently checks `TSTypeAliasDeclaration` such as:
+Currently checks `TSInterfaceDeclaration` or `TSTypeAliasDeclaration` such as:
 
 ```ts
 /**
@@ -95,6 +95,33 @@ export type Extras<D, U> = [D, U | undefined];
  * @property {V} foo
  */
 // Message: @template D not in use
+
+/**
+ * @template D
+ * @template V
+ */
+interface GenericIdentityFn<Type> {
+  (arg: Type): Type;
+}
+// Message: @template D not in use
+
+/**
+ * @template D
+ * @template V
+ */
+export interface GenericIdentityFn<Type> {
+  (arg: Type): Type;
+}
+// Message: @template D not in use
+
+/**
+ * @template D
+ * @template V
+ */
+export default interface GenericIdentityFn<Type> {
+  (arg: Type): Type;
+}
+// Message: @template D not in use
 ````
 
 
@@ -146,5 +173,26 @@ export type Extras<D, U, V> = [D, U, V | undefined];
  * @property {D} foo
  * @property {V} bar
  */
+
+/**
+ * @template Type
+ */
+interface GenericIdentityFn<Type> {
+  (arg: Type): Type;
+}
+
+/**
+ * @template Type
+ */
+export interface GenericIdentityFn<Type> {
+  (arg: Type): Type;
+}
+
+/**
+ * @template Type
+ */
+export default interface GenericIdentityFn<Type> {
+  (arg: Type): Type;
+}
 ````
 
diff --git a/docs/rules/require-template.md b/docs/rules/require-template.md
index a701606e..16d8e3f0 100644
--- a/docs/rules/require-template.md
+++ b/docs/rules/require-template.md
@@ -5,7 +5,7 @@
 Checks to see that `@template` tags are present for any detected type
 parameters.
 
-Currently checks `TSTypeAliasDeclaration` such as:
+Currently checks `TSInterfaceDeclaration` or `TSTypeAliasDeclaration` such as:
 
 ```ts
 export type Pairs<D, V> = [D, V | undefined];
@@ -114,6 +114,30 @@ export type Pairs<D, V> = [D, V | undefined];
  * @property {X} bar
  */
 // Message: Missing @template D
+
+/**
+ *
+ */
+interface GenericIdentityFn<Type> {
+  (arg: Type): Type;
+}
+// Message: Missing @template Type
+
+/**
+ *
+ */
+export interface GenericIdentityFn<Type> {
+  (arg: Type): Type;
+}
+// Message: Missing @template Type
+
+/**
+ *
+ */
+export default interface GenericIdentityFn<Type> {
+  (arg: Type): Type;
+}
+// Message: Missing @template Type
 ````
 
 
@@ -164,5 +188,26 @@ export type Extras<D, U, V> = [D, U, V | undefined];
  * @property {D} foo
  * @property {V} bar
  */
+
+/**
+ * @template Type
+ */
+interface GenericIdentityFn<Type> {
+  (arg: Type): Type;
+}
+
+/**
+ * @template Type
+ */
+export interface GenericIdentityFn<Type> {
+  (arg: Type): Type;
+}
+
+/**
+ * @template Type
+ */
+export default interface GenericIdentityFn<Type> {
+  (arg: Type): Type;
+}
 ````
 
diff --git a/src/rules/checkTemplateNames.js b/src/rules/checkTemplateNames.js
index a7480d0a..9a2914eb 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.TSTypeAliasDeclaration} aliasDeclaration
+   * @param {import('@typescript-eslint/types').TSESTree.TSInterfaceDeclaration|
+   *   import('@typescript-eslint/types').TSESTree.TSTypeAliasDeclaration} aliasDeclaration
    */
   const checkParameters = (aliasDeclaration) => {
     /* c8 ignore next -- Guard */
@@ -47,12 +48,17 @@ export default iterateJsdoc(({
       return;
     }
     switch (nde.type) {
+    case 'ExportDefaultDeclaration':
     case 'ExportNamedDeclaration':
-      if (nde.declaration?.type === 'TSTypeAliasDeclaration') {
-        checkParameters(nde.declaration);
+      switch (nde.declaration?.type) {
+        case 'TSTypeAliasDeclaration':
+        case 'TSInterfaceDeclaration':
+            checkParameters(nde.declaration);
+          break;
       }
       break;
     case 'TSTypeAliasDeclaration':
+    case 'TSInterfaceDeclaration':
       checkParameters(nde);
       break;
     }
diff --git a/src/rules/requireTemplate.js b/src/rules/requireTemplate.js
index 6d4bf3e8..ebee54a0 100644
--- a/src/rules/requireTemplate.js
+++ b/src/rules/requireTemplate.js
@@ -35,9 +35,10 @@ export default iterateJsdoc(({
   }
 
   /**
-   * @param {import('@typescript-eslint/types').TSESTree.TSTypeAliasDeclaration} aliasDeclaration
+   * @param {import('@typescript-eslint/types').TSESTree.TSInterfaceDeclaration|
+   *   import('@typescript-eslint/types').TSESTree.TSTypeAliasDeclaration} aliasDeclaration
    */
-  const checkParameters = (aliasDeclaration) => {
+  const checkTypeParams = (aliasDeclaration) => {
     /* c8 ignore next -- Guard */
     const {params} = aliasDeclaration.typeParameters ?? {params: []};
     for (const {name: {name}} of params) {
@@ -50,7 +51,7 @@ export default iterateJsdoc(({
     }
   };
 
-  const handleTypeAliases = () => {
+  const handleTypes = () => {
     const nde = /** @type {import('@typescript-eslint/types').TSESTree.Node} */ (
       node
     );
@@ -58,20 +59,31 @@ export default iterateJsdoc(({
       return;
     }
     switch (nde.type) {
+    case 'ExportDefaultDeclaration':
+      switch (nde.declaration?.type) {
+        case 'TSInterfaceDeclaration':
+          checkTypeParams(nde.declaration);
+          break;
+      }
+      break;
     case 'ExportNamedDeclaration':
-      if (nde.declaration?.type === 'TSTypeAliasDeclaration') {
-        checkParameters(nde.declaration);
+      switch (nde.declaration?.type) {
+      case 'TSTypeAliasDeclaration':
+      case 'TSInterfaceDeclaration':
+        checkTypeParams(nde.declaration);
+        break;
       }
       break;
     case 'TSTypeAliasDeclaration':
-      checkParameters(nde);
+    case 'TSInterfaceDeclaration':
+      checkTypeParams(nde);
       break;
     }
   };
 
   const typedefTags = utils.getTags('typedef');
   if (!typedefTags.length || typedefTags.length >= 2) {
-    handleTypeAliases();
+    handleTypes();
     return;
   }
 
diff --git a/test/rules/assertions/checkTemplateNames.js b/test/rules/assertions/checkTemplateNames.js
index 4d8167a6..254a34f0 100644
--- a/test/rules/assertions/checkTemplateNames.js
+++ b/test/rules/assertions/checkTemplateNames.js
@@ -158,6 +158,78 @@ export default {
         },
       ],
     },
+    {
+      code: `
+        /**
+         * @template D
+         * @template V
+         */
+        interface GenericIdentityFn<Type> {
+          (arg: Type): Type;
+        }
+      `,
+      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 interface GenericIdentityFn<Type> {
+          (arg: Type): Type;
+        }
+      `,
+      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 interface GenericIdentityFn<Type> {
+          (arg: Type): Type;
+        }
+      `,
+      errors: [
+        {
+          line: 3,
+          message: '@template D not in use',
+        },
+        {
+          line: 4,
+          message: '@template V not in use',
+        },
+      ],
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
   ],
   valid: [
     {
@@ -228,5 +300,44 @@ export default {
          */
       `,
     },
+    {
+      code: `
+        /**
+         * @template Type
+         */
+        interface GenericIdentityFn<Type> {
+          (arg: Type): Type;
+        }
+      `,
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
+    {
+      code: `
+        /**
+         * @template Type
+         */
+        export interface GenericIdentityFn<Type> {
+          (arg: Type): Type;
+        }
+      `,
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
+    {
+      code: `
+        /**
+         * @template Type
+         */
+        export default interface GenericIdentityFn<Type> {
+          (arg: Type): Type;
+        }
+      `,
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
   ],
 };
diff --git a/test/rules/assertions/requireTemplate.js b/test/rules/assertions/requireTemplate.js
index c4cc57c9..75677199 100644
--- a/test/rules/assertions/requireTemplate.js
+++ b/test/rules/assertions/requireTemplate.js
@@ -171,6 +171,63 @@ export default {
         },
       ],
     },
+    {
+      code: `
+        /**
+         *
+         */
+        interface GenericIdentityFn<Type> {
+          (arg: Type): Type;
+        }
+      `,
+      errors: [
+        {
+          line: 2,
+          message: 'Missing @template Type',
+        },
+      ],
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
+    {
+      code: `
+        /**
+         *
+         */
+        export interface GenericIdentityFn<Type> {
+          (arg: Type): Type;
+        }
+      `,
+      errors: [
+        {
+          line: 2,
+          message: 'Missing @template Type',
+        },
+      ],
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
+    {
+      code: `
+        /**
+         *
+         */
+        export default interface GenericIdentityFn<Type> {
+          (arg: Type): Type;
+        }
+      `,
+      errors: [
+        {
+          line: 2,
+          message: 'Missing @template Type',
+        },
+      ],
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
   ],
   valid: [
     {
@@ -240,5 +297,44 @@ export default {
          */
       `,
     },
+    {
+      code: `
+        /**
+         * @template Type
+         */
+        interface GenericIdentityFn<Type> {
+          (arg: Type): Type;
+        }
+      `,
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
+    {
+      code: `
+        /**
+         * @template Type
+         */
+        export interface GenericIdentityFn<Type> {
+          (arg: Type): Type;
+        }
+      `,
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
+    {
+      code: `
+        /**
+         * @template Type
+         */
+        export default interface GenericIdentityFn<Type> {
+          (arg: Type): Type;
+        }
+      `,
+      languageOptions: {
+        parser: typescriptEslintParser
+      },
+    },
   ],
 };