diff --git a/packages/zone.js/rollup-es5.config.js b/packages/zone.js/rollup-es5.config.js
index b840d3f5281..60699d7176c 100644
--- a/packages/zone.js/rollup-es5.config.js
+++ b/packages/zone.js/rollup-es5.config.js
@@ -14,7 +14,16 @@ if (bazel_stamp_file) {
   }
 }
 
-const banner = `/**
+// Add 'use strict' to the bundle, https://github.com/angular/angular/pull/40456
+// When rollup build esm bundle of zone.js, there will be no 'use strict'
+// since all esm bundles are `strict`, but when webpack load the esm bundle,
+// because zone.js is a module without export and import, webpack is unable
+// to determine the bundle is `esm` module or not, so it doesn't add the 'use strict'
+// which webpack does to all other `esm` modules which has export or import.
+// And it causes issues such as https://github.com/angular/angular/issues/40215
+// `this` should be `undefined` but is assigned with `Window` instead.
+const banner = `'use strict';
+/**
 * @license Angular v${version}
 * (c) 2010-2020 Google LLC. https://angular.io/
 * License: MIT
diff --git a/packages/zone.js/rollup-es5_global-es2015.config.js b/packages/zone.js/rollup-es5_global-es2015.config.js
index 37bdfd1eddb..c54fd03eea6 100644
--- a/packages/zone.js/rollup-es5_global-es2015.config.js
+++ b/packages/zone.js/rollup-es5_global-es2015.config.js
@@ -14,7 +14,16 @@ if (bazel_stamp_file) {
   }
 }
 
-const banner = `/**
+// Add 'use strict' to the bundle, https://github.com/angular/angular/pull/40456
+// When rollup build esm bundle of zone.js, there will be no 'use strict'
+// since all esm bundles are `strict`, but when webpack load the esm bundle,
+// because zone.js is a module without export and import, webpack is unable
+// to determine the bundle is `esm` module or not, so it doesn't add the 'use strict'
+// which webpack does to all other `esm` modules which has export or import.
+// And it causes issues such as https://github.com/angular/angular/issues/40215
+// `this` should be `undefined` but is assigned with `Window` instead.
+const banner = `'use strict';
+/**
 * @license Angular v${version}
 * (c) 2010-2020 Google LLC. https://angular.io/
 * License: MIT
diff --git a/packages/zone.js/test/npm_package/npm_package.spec.ts b/packages/zone.js/test/npm_package/npm_package.spec.ts
index ebf76c6281c..739a622e009 100644
--- a/packages/zone.js/test/npm_package/npm_package.spec.ts
+++ b/packages/zone.js/test/npm_package/npm_package.spec.ts
@@ -86,6 +86,12 @@ describe('Zone.js npm_package', () => {
           expect(shx.cat('zone.umd.js')).not.toContain('sourceMappingURL');
         });
       });
+
+      it('zone.js(es5) should contain use strict', () => {
+        checkInSubFolder('./bundles', () => {
+          expect(shx.cat('zone.umd.js')).toMatch(/^\s*'use strict';/);
+        });
+      });
     });
 
     describe('es2015', () => {
@@ -99,6 +105,11 @@ describe('Zone.js npm_package', () => {
           expect(shx.cat('zone.js')).not.toContain('sourceMappingURL');
         });
       });
+      it('zone.js(es2015) should contain use strict', () => {
+        checkInSubFolder('./fesm2015', () => {
+          expect(shx.cat('zone.js')).toMatch(/^\s*'use strict';/);
+        });
+      });
     });