How to Mute Your Apple Watch With Silent Mode

Silent Mode does exactly what it sounds like. It silences the watch so that all alerts, alarms, and push notifications are muted. Haptic feedback is still active, though, so you will get notification using vibrations. 

How to Use Apple Watch Theater Mode

Your watch’s Theater Mode is designed for activities like the movie theater or formal events where it’s a good idea to keep your watch both dark and quiet. When you turn on Theater Mode, it enables Silent Mode, dims the screen, and prevents the watch from waking when you raise it to your wrist.

How to Use Apple Watch Do Not Disturb Mode

Do Not Disturb is the third and final way to silence your Apple Watch. When Do Not Disturb is enabled, it keeps all incoming alerts and notifications from sounding or lighting up the screen (with the exception of heart rate notifications and alarms, which still sound normally). To enable Do Not Disturb directly from the Apple Watch, swipe up and tap the Do Not Disturb icon in the Control Center, but the Apple Watch will automatically enter Do Not Disturb mode when your iPhone is set to Do Not Disturb.