diff --git a/docs/rules/reject-any-type.md b/docs/rules/reject-any-type.md
index 35805f8b8..f0c29cc6b 100644
--- a/docs/rules/reject-any-type.md
+++ b/docs/rules/reject-any-type.md
@@ -27,11 +27,23 @@ The following patterns are considered problems:
 function quux () {}
 // Message: Prefer a more specific type to `any`
 
+/**
+ * @param {*} abc
+ */
+function quux () {}
+// Message: Prefer a more specific type to `*`
+
 /**
  * @param {string|Promise<any>} abc
  */
 function quux () {}
 // Message: Prefer a more specific type to `any`
+
+/**
+ * @param {Array<*>|number} abc
+ */
+function quux () {}
+// Message: Prefer a more specific type to `*`
 ````
 
 
diff --git a/test/rules/assertions/rejectAnyType.js b/test/rules/assertions/rejectAnyType.js
index 6dc033a4c..29dc8de2b 100644
--- a/test/rules/assertions/rejectAnyType.js
+++ b/test/rules/assertions/rejectAnyType.js
@@ -14,6 +14,20 @@ export default {
         },
       ],
     },
+    {
+      code: `
+        /**
+         * @param {*} abc
+         */
+        function quux () {}
+      `,
+      errors: [
+        {
+          line: 3,
+          message: 'Prefer a more specific type to `*`',
+        },
+      ],
+    },
     {
       code: `
         /**
@@ -28,6 +42,20 @@ export default {
         },
       ],
     },
+    {
+      code: `
+        /**
+         * @param {Array<*>|number} abc
+         */
+        function quux () {}
+      `,
+      errors: [
+        {
+          line: 3,
+          message: 'Prefer a more specific type to `*`',
+        },
+      ],
+    },
   ],
   valid: [
     {