diff --git a/packages/zone.js/lib/zone.ts b/packages/zone.js/lib/zone.ts
index dc1f7b26c1e60..488c8f76c421e 100644
--- a/packages/zone.js/lib/zone.ts
+++ b/packages/zone.js/lib/zone.ts
@@ -956,6 +956,11 @@ const Zone: ZoneType = (function(global: any) {
         throw new Error(
             'A task can only be cancelled in the zone of creation! (Creation: ' +
             (task.zone || NO_ZONE).name + '; Execution: ' + this.name + ')');
+
+      if (task.state !== scheduled && task.state !== running) {
+        return;
+      }
+
       (task as ZoneTask<any>)._transitionTo(canceling, scheduled, running);
       try {
         this._zoneDelegate.cancelTask(this, task);
diff --git a/packages/zone.js/test/common/task.spec.ts b/packages/zone.js/test/common/task.spec.ts
index ff8721567d400..9718a32abacd1 100644
--- a/packages/zone.js/test/common/task.spec.ts
+++ b/packages/zone.js/test/common/task.spec.ts
@@ -907,6 +907,28 @@ describe('task lifecycle', () => {
        }));
   });
 
+  // Test specific to https://github.com/angular/angular/issues/45711
+  it('should not throw an error when the task has been canceled previously and is attemped to be canceled again',
+     () => {
+       testFnWithLoggedTransitionTo(() => {
+         Zone.current.fork({name: 'testCancelZone'}).run(() => {
+           const task =
+               Zone.current.scheduleEventTask('testEventTask', noop, undefined, noop, noop);
+           Zone.current.cancelTask(task);
+           Zone.current.cancelTask(task);
+         });
+         expect(log.map(item => {
+           return {toState: item.toState, fromState: item.fromState};
+         }))
+             .toEqual([
+               {toState: 'scheduling', fromState: 'notScheduled'},
+               {toState: 'scheduled', fromState: 'scheduling'},
+               {toState: 'canceling', fromState: 'scheduled'},
+               {toState: 'notScheduled', fromState: 'canceling'}
+             ]);
+       });
+     });
+
   describe('reschedule zone', () => {
     let callbackLogs: ({pos: string, method: string, zone: string, task: string}|HasTaskState)[];
     const newZone = Zone.root.fork({