diff --git a/docs/pages/api-docs/tabs.md b/docs/pages/api-docs/tabs.md
index 40789f6a8e2ac5..236545b26b6db2 100644
--- a/docs/pages/api-docs/tabs.md
+++ b/docs/pages/api-docs/tabs.md
@@ -29,6 +29,8 @@ The `MuiTabs` name can be used for providing [default props](/customization/glob
 | Name | Type | Default | Description |
 |:-----|:-----|:--------|:------------|
 | <span class="prop-name">action</span> | <span class="prop-type">ref</span> |  | Callback fired when the component mounts. This is useful when you want to trigger an action programmatically. It supports two actions: `updateIndicator()` and `updateScrollButtons()` |
+| <span class="prop-name">aria-label</span> | <span class="prop-type">string</span> |  | The label for the Tabs as a string. |
+| <span class="prop-name">aria-labelledby</span> | <span class="prop-type">string</span> |  | An id or list of ids separated by a space that label the Tabs. |
 | <span class="prop-name">centered</span> | <span class="prop-type">bool</span> | <span class="prop-default">false</span> | If `true`, the tabs will be centered. This property is intended for large views. |
 | <span class="prop-name">children</span> | <span class="prop-type">node</span> |  | The content of the component. |
 | <span class="prop-name">classes</span> | <span class="prop-type">object</span> |  | Override or extend the styles applied to the component. See [CSS API](#css) below for more details. |
diff --git a/packages/material-ui/src/Tabs/Tabs.js b/packages/material-ui/src/Tabs/Tabs.js
index 3ff1ec69a9d8ac..20e84744860395 100644
--- a/packages/material-ui/src/Tabs/Tabs.js
+++ b/packages/material-ui/src/Tabs/Tabs.js
@@ -73,6 +73,8 @@ export const styles = (theme) => ({
 
 const Tabs = React.forwardRef(function Tabs(props, ref) {
   const {
+    'aria-label': ariaLabel,
+    'aria-labelledby': ariaLabelledBy,
     action,
     centered = false,
     children: childrenProp,
@@ -483,6 +485,8 @@ const Tabs = React.forwardRef(function Tabs(props, ref) {
         {/* The tablist isn't interactive but the tabs are */}
         {/* eslint-disable-next-line jsx-a11y/interactive-supports-focus */}
         <div
+          aria-label={ariaLabel}
+          aria-labelledby={ariaLabelledBy}
           className={clsx(classes.flexContainer, {
             [classes.flexContainerVertical]: vertical,
             [classes.centered]: centered && !scrollable,
@@ -510,6 +514,14 @@ Tabs.propTypes = {
    * that can be triggered programmatically.
    */
   action: refType,
+  /**
+   * The label for the Tabs as a string.
+   */
+  'aria-label': PropTypes.string,
+  /**
+   * An id or list of ids separated by a space that label the Tabs.
+   */
+  'aria-labelledby': PropTypes.string,
   /**
    * If `true`, the tabs will be centered.
    * This property is intended for large views.
diff --git a/packages/material-ui/src/Tabs/Tabs.test.js b/packages/material-ui/src/Tabs/Tabs.test.js
index 640495b6699602..a22f1d931bb52c 100644
--- a/packages/material-ui/src/Tabs/Tabs.test.js
+++ b/packages/material-ui/src/Tabs/Tabs.test.js
@@ -3,7 +3,7 @@ import { expect } from 'chai';
 import { spy, useFakeTimers } from 'sinon';
 import consoleErrorMock from 'test/utils/consoleErrorMock';
 import { createMount, getClasses } from '@material-ui/core/test-utils';
-import { createClientRender, fireEvent } from 'test/utils/createClientRender';
+import { createClientRender, fireEvent, screen } from 'test/utils/createClientRender';
 import createServerRender from 'test/utils/createServerRender';
 import describeConformance from '../test-utils/describeConformance';
 import capitalize from '../utils/capitalize';
@@ -65,6 +65,23 @@ describe('<Tabs />', () => {
     after: () => mount.cleanUp(),
   }));
 
+  it('can be named via `aria-label`', () => {
+    render(<Tabs aria-label="string label" />);
+
+    expect(screen.getByRole('tablist')).toHaveAccessibleName('string label');
+  });
+
+  it('can be named via `aria-labelledby`', () => {
+    render(
+      <React.Fragment>
+        <h3 id="label-id">complex name</h3>
+        <Tabs aria-labelledby="label-id" />
+      </React.Fragment>,
+    );
+
+    expect(screen.getByRole('tablist')).toHaveAccessibleName('complex name');
+  });
+
   describe('warnings', () => {
     before(() => {
       consoleErrorMock.spy();