diff --git a/CHANGELOG.md b/CHANGELOG.md
index f058080babe4..fee673e64255 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,6 +1,6 @@
 ## Changelog
 ##### Unreleased
-- Nothing
+- Made `instanceof Promise` work with polyfilled `Promise` for all native promise-based APIs
 
 ##### 3.11.0 - 2021.04.22
 - Added [accessible `Object#hasOwnProperty` stage 2 proposal](https://github.com/tc39/proposal-accessible-object-hasownproperty)
diff --git a/packages/core-js/modules/es.promise.js b/packages/core-js/modules/es.promise.js
index 3fdd77174619..eaafc83bf169 100644
--- a/packages/core-js/modules/es.promise.js
+++ b/packages/core-js/modules/es.promise.js
@@ -6,6 +6,7 @@ var getBuiltIn = require('../internals/get-built-in');
 var NativePromise = require('../internals/native-promise-constructor');
 var redefine = require('../internals/redefine');
 var redefineAll = require('../internals/redefine-all');
+var setPrototypeOf = require('../internals/object-set-prototype-of');
 var setToStringTag = require('../internals/set-to-string-tag');
 var setSpecies = require('../internals/set-species');
 var isObject = require('../internals/is-object');
@@ -295,7 +296,12 @@ if (FORCED) {
     // https://github.com/zloirock/core-js/issues/640
     }, { unsafe: true });
 
-    // wrap fetch result
+    // make `instanceof Promise` work for all native promise-based APIs
+    if (setPrototypeOf) {
+      setPrototypeOf(NativePromise.prototype, PromiseConstructor.prototype);
+    }
+
+    // wrap fetch result, TODO: drop it in `core-js@4` in favor of workaround above
     if (typeof $fetch == 'function') $({ global: true, enumerable: true, forced: true }, {
       // eslint-disable-next-line no-unused-vars -- required for `.length`
       fetch: function fetch(input /* , init */) {