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Open Facebook. Tap ☰. Scroll down and tap Settings. Tap Account Settings. Tap Blocking. Tap the name field. Type in the name of the person you want to block, then tap Block. Tap Block next to the profile you want to block. Tap Block when prompted.

Article:
It's a dark-blue app with a white "f" on it. This will open your Facebook News Feed if you're already logged into Facebook on your phone or tablet. If you aren't logged into Facebook, enter your email address (or phone number) and password to continue. It's in either the bottom-right corner of the screen (iPhone) or the top-right corner of the screen (Android). It's near the bottom of the page. Skip this step on Android. This option will take you to your Account Settings page. On Android, you must first scroll down. It's in the second group of options on this page, near the bottom of the screen. For some smaller phones, you may first have to scroll down. It's the text box that says "Type a name or email" near the top of the screen. This will take you to the confirmation page. If you have this person's email address, you can type that in instead. Facebook will bring up several profiles that match the name you entered; tap Block to the right of the one you want to block. It's the blue button near the bottom of the page. Doing so will block your selected user.