diff --git a/src/lib/slider/slider.spec.ts b/src/lib/slider/slider.spec.ts
index b53a6be2408a..9f99457cecda 100644
--- a/src/lib/slider/slider.spec.ts
+++ b/src/lib/slider/slider.spec.ts
@@ -1386,6 +1386,38 @@ describe('MatSlider', () => {
     });
   });
 
+  describe('slider with a two-way binding', () => {
+    let fixture: ComponentFixture<SliderWithTwoWayBinding>;
+    let testComponent: SliderWithTwoWayBinding;
+    let sliderNativeElement: HTMLElement;
+
+    beforeEach(() => {
+      fixture = createComponent(SliderWithTwoWayBinding);
+      fixture.detectChanges();
+
+      testComponent = fixture.componentInstance;
+      let sliderDebugElement = fixture.debugElement.query(By.directive(MatSlider));
+      sliderNativeElement = sliderDebugElement.nativeElement;
+    });
+
+    it('should sync the value binding in both directions', () => {
+      expect(testComponent.value).toBe(0);
+      expect(testComponent.slider.value).toBe(0);
+
+      dispatchClickEventSequence(sliderNativeElement, 0.1);
+      fixture.detectChanges();
+
+      expect(testComponent.value).toBe(10);
+      expect(testComponent.slider.value).toBe(10);
+
+      testComponent.value = 20;
+      fixture.detectChanges();
+
+      expect(testComponent.value).toBe(20);
+      expect(testComponent.slider.value).toBe(20);
+    });
+  });
+
 });
 
 // Disable animations and make the slider an even 100px (+ 8px padding on either side)
@@ -1552,6 +1584,15 @@ class SliderWithNativeTabindexAttr {
   tabIndex: number;
 }
 
+@Component({
+  template: '<mat-slider [(value)]="value"></mat-slider>',
+  styles: [styles],
+})
+class SliderWithTwoWayBinding {
+  @ViewChild(MatSlider) slider: MatSlider;
+  value = 0;
+}
+
 /**
  * Dispatches a click event sequence (consisting of moueseenter, click) from an element.
  * Note: The mouse event truncates the position for the click.
diff --git a/src/lib/slider/slider.ts b/src/lib/slider/slider.ts
index 49b3f001e35e..86d7b949b681 100644
--- a/src/lib/slider/slider.ts
+++ b/src/lib/slider/slider.ts
@@ -262,6 +262,13 @@ export class MatSlider extends _MatSliderMixinBase
   /** Event emitted when the slider thumb moves. */
   @Output() readonly input: EventEmitter<MatSliderChange> = new EventEmitter<MatSliderChange>();
 
+  /**
+   * Emits when the raw value of the slider changes. This is here primarily
+   * to facilitate the two-way binding for the `value` input.
+   * @docs-private
+   */
+  @Output() readonly valueChange: EventEmitter<number | null> = new EventEmitter<number | null>();
+
   /** The value to be used for display purposes. */
   get displayValue(): string | number {
     if (this.displayWith) {
@@ -660,6 +667,7 @@ export class MatSlider extends _MatSliderMixinBase
   /** Emits a change event if the current value is different from the last emitted value. */
   private _emitChangeEvent() {
     this._controlValueAccessorChangeFn(this.value);
+    this.valueChange.emit(this.value);
     this.change.emit(this._createChangeEvent());
   }