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Open your WhatsApp app. Tap the "Chats" tab. Swipe left on the chat you wish to mute. Tap More. Tap Mute. Tap a mute time frame.

Article:
This is in the toolbar at the bottom of your screen; you may have to tap the backward-facing arrow in the top left corner of your screen to view this toolbar. You should see two options--"More" and "Archive"--appear on the right side of the screen.   You can choose "8 hours", "1 week", or "1 year". You have successfully muted a chat on WhatsApp! To unmute the conversation manually, tap Mute again and then tap Unmute.