diff --git a/src/chromium/crBrowser.ts b/src/chromium/crBrowser.ts
index 6eb07b7ff0..338712fff9 100644
--- a/src/chromium/crBrowser.ts
+++ b/src/chromium/crBrowser.ts
@@ -40,6 +40,7 @@ export class CRBrowser extends BrowserBase {
   _backgroundPages = new Map<string, CRPage>();
   _serviceWorkers = new Map<string, CRServiceWorker>();
   _devtools?: CRDevTools;
+  _isMac = false;
 
   private _tracingRecording = false;
   private _tracingPath: string | null = '';
@@ -50,6 +51,8 @@ export class CRBrowser extends BrowserBase {
     const browser = new CRBrowser(connection, options);
     browser._devtools = devtools;
     const session = connection.rootSession;
+    const version = await session.send('Browser.getVersion');
+    browser._isMac = version.userAgent.includes('Macintosh');
     if (!options.persistent) {
       await session.send('Target.setAutoAttach', { autoAttach: true, waitForDebuggerOnStart: true, flatten: true });
       return browser;
diff --git a/src/chromium/crInput.ts b/src/chromium/crInput.ts
index 7a0af061da..15e30894a2 100644
--- a/src/chromium/crInput.ts
+++ b/src/chromium/crInput.ts
@@ -18,6 +18,8 @@
 import * as input from '../input';
 import * as types from '../types';
 import { CRSession } from './crConnection';
+import { macEditingCommands } from '../macEditingCommands';
+import { helper } from '../helper';
 
 function toModifiersMask(modifiers: Set<types.KeyboardModifier>): number {
   let mask = 0;
@@ -33,18 +35,36 @@ function toModifiersMask(modifiers: Set<types.KeyboardModifier>): number {
 }
 
 export class RawKeyboardImpl implements input.RawKeyboard {
-  private _client: CRSession;
+  constructor(
+    private _client: CRSession,
+    private _isMac: boolean,
+  ) { }
 
-  constructor(client: CRSession) {
-    this._client = client;
+  _commandsForCode(code: string, modifiers: Set<types.KeyboardModifier>) {
+    if (!this._isMac)
+      return [];
+    const parts = [];
+    for (const modifier of (['Shift', 'Control', 'Alt', 'Meta']) as types.KeyboardModifier[]) {
+      if (modifiers.has(modifier))
+        parts.push(modifier);
+    }
+    parts.push(code);
+    const shortcut = parts.join('+');
+    let commands = macEditingCommands[shortcut] || [];
+    if (helper.isString(commands))
+      commands = [commands];
+    // remove the trailing : to match the Chromium command names.
+    return commands.map(c => c.substring(0, c.length - 1));
   }
 
   async keydown(modifiers: Set<types.KeyboardModifier>, code: string, keyCode: number, keyCodeWithoutLocation: number, key: string, location: number, autoRepeat: boolean, text: string | undefined): Promise<void> {
+    const commands = this._commandsForCode(code, modifiers);
     await this._client.send('Input.dispatchKeyEvent', {
       type: text ? 'keyDown' : 'rawKeyDown',
       modifiers: toModifiersMask(modifiers),
       windowsVirtualKeyCode: keyCodeWithoutLocation,
       code,
+      commands,
       key,
       text,
       unmodifiedText: text,
diff --git a/src/chromium/crPage.ts b/src/chromium/crPage.ts
index 96eb895831..30d3f03976 100644
--- a/src/chromium/crPage.ts
+++ b/src/chromium/crPage.ts
@@ -65,7 +65,7 @@ export class CRPage implements PageDelegate {
   constructor(client: CRSession, targetId: string, browserContext: CRBrowserContext, opener: CRPage | null, hasUIWindow: boolean) {
     this._targetId = targetId;
     this._opener = opener;
-    this.rawKeyboard = new RawKeyboardImpl(client);
+    this.rawKeyboard = new RawKeyboardImpl(client, browserContext._browser._isMac);
     this.rawMouse = new RawMouseImpl(client);
     this._pdf = new CRPDF(client);
     this._coverage = new CRCoverage(client);
diff --git a/src/macEditingCommands.ts b/src/macEditingCommands.ts
index 6004964ff9..d7867da029 100644
--- a/src/macEditingCommands.ts
+++ b/src/macEditingCommands.ts
@@ -17,7 +17,6 @@
 
 export const macEditingCommands: {[key: string]: string|string[]} = {
   'Backspace': 'deleteBackward:',
-  'Tab': 'insertTab:',
   'Enter': 'insertNewline:',
   'NumpadEnter': 'insertNewline:',
   'Escape': 'cancelOperation:',
@@ -34,7 +33,6 @@ export const macEditingCommands: {[key: string]: string|string[]} = {
   'Shift+Backspace': 'deleteBackward:',
   'Shift+Enter': 'insertNewline:',
   'Shift+NumpadEnter': 'insertNewline:',
-  'Shift+Tab': 'insertBacktab:',
   'Shift+Escape': 'cancelOperation:',
   'Shift+ArrowUp': 'moveUpAndModifySelection:',
   'Shift+ArrowDown': 'moveDownAndModifySelection:',
@@ -87,7 +85,6 @@ export const macEditingCommands: {[key: string]: string|string[]} = {
   'Shift+Control+ArrowLeft': 'moveToLeftEndOfLineAndModifySelection:',
   'Shift+Control+ArrowRight': 'moveToRightEndOfLineAndModifySelection:',
   'Alt+Backspace': 'deleteWordBackward:',
-  'Alt+Tab': 'insertTabIgnoringFieldEditor:',
   'Alt+Enter': 'insertNewlineIgnoringFieldEditor:',
   'Alt+NumpadEnter': 'insertNewlineIgnoringFieldEditor:',
   'Alt+Escape': 'complete:',
@@ -99,7 +96,6 @@ export const macEditingCommands: {[key: string]: string|string[]} = {
   'Alt+PageUp': 'pageUp:',
   'Alt+PageDown': 'pageDown:',
   'Shift+Alt+Backspace': 'deleteWordBackward:',
-  'Shift+Alt+Tab': 'insertTabIgnoringFieldEditor:',
   'Shift+Alt+Enter': 'insertNewlineIgnoringFieldEditor:',
   'Shift+Alt+NumpadEnter': 'insertNewlineIgnoringFieldEditor:',
   'Shift+Alt+Escape': 'complete:',
diff --git a/test/focus.jest.js b/test/focus.jest.js
index e486707eaa..82f30f9ec3 100644
--- a/test/focus.jest.js
+++ b/test/focus.jest.js
@@ -14,7 +14,7 @@
  * limitations under the License.
  */
 
-const {FFOX, CHROMIUM, LINUX, WEBKIT} = testOptions;
+const {FFOX, CHROMIUM, LINUX, WEBKIT, MAC} = testOptions;
 
 describe('Page.focus', function() {
   it('should work', async function({page, server}) {
@@ -44,7 +44,7 @@ describe('Page.focus', function() {
     expect(focused).toBe(true);
     expect(blurred).toBe(true);
   });
-  it.fail(WEBKIT && !LINUX)('should traverse focus', async function({page, server}) {
+  it('should traverse focus', async function({page}) {
     await page.setContent(`<input id="i1"><input id="i2">`);
     let focused = false;
     await page.exposeFunction('focusEvent', () => focused = true);
@@ -59,4 +59,45 @@ describe('Page.focus', function() {
     expect(await page.$eval('#i1', e => e.value)).toBe('First');
     expect(await page.$eval('#i2', e => e.value)).toBe('Last');
   });
+  it('should traverse focus in all directions', async function({page}) {
+    await page.setContent(`<input value="1"><input value="2"><input value="3">`);
+    await page.keyboard.press('Tab');
+    expect(await page.evaluate(() => document.activeElement.value)).toBe('1');
+    await page.keyboard.press('Tab');
+    expect(await page.evaluate(() => document.activeElement.value)).toBe('2');
+    await page.keyboard.press('Tab');
+    expect(await page.evaluate(() => document.activeElement.value)).toBe('3');
+    await page.keyboard.press('Shift+Tab');
+    expect(await page.evaluate(() => document.activeElement.value)).toBe('2');
+    await page.keyboard.press('Shift+Tab');
+    expect(await page.evaluate(() => document.activeElement.value)).toBe('1');
+  });
+  // Chromium and WebKit both have settings for tab traversing all links, but 
+  // it is only on by default in WebKit.
+  it.skip(!MAC || !WEBKIT)('should traverse only form elements', async function({page}) {
+    await page.setContent(`
+      <input id="input-1">
+      <button id="button">buttton</button>
+      <a href id="link">link</a>
+      <input id="input-2">
+    `);
+    await page.keyboard.press('Tab');
+    expect(await page.evaluate(() => document.activeElement.id)).toBe('input-1');
+    await page.keyboard.press('Tab');
+    expect(await page.evaluate(() => document.activeElement.id)).toBe('input-2');
+    await page.keyboard.press('Shift+Tab');
+    expect(await page.evaluate(() => document.activeElement.id)).toBe('input-1');
+    await page.keyboard.press('Alt+Tab');
+    expect(await page.evaluate(() => document.activeElement.id)).toBe('button');
+    await page.keyboard.press('Alt+Tab');
+    expect(await page.evaluate(() => document.activeElement.id)).toBe('link');
+    await page.keyboard.press('Alt+Tab');
+    expect(await page.evaluate(() => document.activeElement.id)).toBe('input-2');
+    await page.keyboard.press('Alt+Shift+Tab');
+    expect(await page.evaluate(() => document.activeElement.id)).toBe('link');
+    await page.keyboard.press('Alt+Shift+Tab');
+    expect(await page.evaluate(() => document.activeElement.id)).toBe('button');
+    await page.keyboard.press('Alt+Shift+Tab');
+    expect(await page.evaluate(() => document.activeElement.id)).toBe('input-1');
+  });
 });
diff --git a/test/keyboard.jest.js b/test/keyboard.jest.js
index 600f06ac88..7f67b50545 100644
--- a/test/keyboard.jest.js
+++ b/test/keyboard.jest.js
@@ -290,7 +290,7 @@ describe('Keyboard', function() {
     await textarea.type('👹 Tokyo street Japan 🇯🇵');
     expect(await frame.$eval('textarea', textarea => textarea.value)).toBe('👹 Tokyo street Japan 🇯🇵');
   });
-  it.skip(CHROMIUM && MAC)('should handle selectAll', async ({page, server}) => {
+  it('should handle selectAll', async ({page, server}) => {
     await page.goto(server.PREFIX + '/input/textarea.html');
     const textarea = await page.$('textarea');
     await textarea.type('some text');
@@ -318,6 +318,15 @@ describe('Keyboard', function() {
     await page.keyboard.press('Backspace');
     expect(await page.$eval('textarea', textarea => textarea.value)).toBe('some tex');
   });
+  it.skip(!MAC)('should support MacOS shortcuts', async ({page, server}) => {
+    await page.goto(server.PREFIX + '/input/textarea.html');
+    const textarea = await page.$('textarea');
+    await textarea.type('some text');
+    // select one word backwards
+    await page.keyboard.press('Shift+Control+Alt+KeyB');
+    await page.keyboard.press('Backspace');
+    expect(await page.$eval('textarea', textarea => textarea.value)).toBe('some ');
+  });
   it('should press the meta key', async ({page}) => {
     const lastEvent = await captureLastKeydown(page);
     await page.keyboard.press('Meta');