diff --git a/src/lib/tabs/tab-group.html b/src/lib/tabs/tab-group.html
index 9a9148f8906..2f84478496c 100644
--- a/src/lib/tabs/tab-group.html
+++ b/src/lib/tabs/tab-group.html
@@ -7,6 +7,8 @@
        *ngFor="let tab of _tabs; let i = index"
        [id]="_getTabLabelId(i)"
        [attr.tabIndex]="_getTabIndex(tab, i)"
+       [attr.aria-posinset]="i + 1"
+       [attr.aria-setsize]="_tabs.length"
        [attr.aria-controls]="_getTabContentId(i)"
        [attr.aria-selected]="selectedIndex == i"
        [class.mat-tab-label-active]="selectedIndex == i"
diff --git a/src/lib/tabs/tab-group.spec.ts b/src/lib/tabs/tab-group.spec.ts
index 0a300124fac..bb760eb8bce 100644
--- a/src/lib/tabs/tab-group.spec.ts
+++ b/src/lib/tabs/tab-group.spec.ts
@@ -221,6 +221,16 @@ describe('MatTabGroup', () => {
 
       expect(fixture.componentInstance.animationDone).toHaveBeenCalled();
     }));
+
+    it('should add the proper `aria-setsize` and `aria-posinset`', () => {
+      fixture.detectChanges();
+
+      const labels = Array.from(element.querySelectorAll('.mat-tab-label'));
+
+      expect(labels.map(label => label.getAttribute('aria-posinset'))).toEqual(['1', '2', '3']);
+      expect(labels.every(label => label.getAttribute('aria-setsize') === '3')).toBe(true);
+    });
+
   });
 
   describe('disable tabs', () => {