diff --git a/packages/eslint-plugin/src/rules/ban-types.ts b/packages/eslint-plugin/src/rules/ban-types.ts
index 9e7d9f69f4b..21a1d1c1403 100644
--- a/packages/eslint-plugin/src/rules/ban-types.ts
+++ b/packages/eslint-plugin/src/rules/ban-types.ts
@@ -260,6 +260,12 @@ export default util.createRule<Options, MessageIds>({
           checkBannedTypes(node);
         }
       },
+      TSInterfaceHeritage(node): void {
+        checkBannedTypes(node);
+      },
+      TSClassImplements(node): void {
+        checkBannedTypes(node);
+      },
     };
   },
 });
diff --git a/packages/eslint-plugin/tests/rules/ban-types.test.ts b/packages/eslint-plugin/tests/rules/ban-types.test.ts
index 831d17a59a1..5f22d9e4081 100644
--- a/packages/eslint-plugin/tests/rules/ban-types.test.ts
+++ b/packages/eslint-plugin/tests/rules/ban-types.test.ts
@@ -657,6 +657,81 @@ let baz: object = {};
         },
       ],
     },
+    {
+      code: 'type Baz = 1 & Foo;',
+      errors: [
+        {
+          messageId: 'bannedTypeMessage',
+        },
+      ],
+      options: [
+        {
+          types: {
+            Foo: { message: '' },
+          },
+        },
+      ],
+    },
+    {
+      code: 'interface Foo extends Bar {}',
+      errors: [
+        {
+          messageId: 'bannedTypeMessage',
+        },
+      ],
+      options: [
+        {
+          types: {
+            Bar: { message: '' },
+          },
+        },
+      ],
+    },
+    {
+      code: 'interface Foo extends Bar, Baz {}',
+      errors: [
+        {
+          messageId: 'bannedTypeMessage',
+        },
+      ],
+      options: [
+        {
+          types: {
+            Bar: { message: '' },
+          },
+        },
+      ],
+    },
+    {
+      code: 'class Foo implements Bar {}',
+      errors: [
+        {
+          messageId: 'bannedTypeMessage',
+        },
+      ],
+      options: [
+        {
+          types: {
+            Bar: { message: '' },
+          },
+        },
+      ],
+    },
+    {
+      code: 'class Foo implements Bar, Baz {}',
+      errors: [
+        {
+          messageId: 'bannedTypeMessage',
+        },
+      ],
+      options: [
+        {
+          types: {
+            Bar: { message: 'Bla' },
+          },
+        },
+      ],
+    },
     ...objectReduceKey(
       TYPE_KEYWORDS,
       (acc: TSESLint.InvalidTestCase<MessageIds, Options>[], key) => {