Delete your profile picture
Follow these steps to remove or delete a profile picture on Facebook.
How to delete a profile picture on Facebook
Step 1: Log into your Facebook account.
Step 2: Click your name at the top left to go to your profile page.
Step 3: Click Photos.
Step 4: Click Albums.
Step 5: Click Profile Pictures.
Step 6: Click on the picture you want to delete.
Step 7: Click Options.
Step 8: Select Delete This Photo from the drop-down menu.
Step 9: Click Delete to confirm your action.
You cannot recover what you've deleted from Facebook. So if you want to re-use a deleted profile picture, you have to upload it again. If you don't know how to add a profile picture on Facebook, you can read this article for a comprehensive guide: Add or change your Facebook profile picture.
On Mobile (Android, iOS)
Step 1: Open the Facebook app on your mobile device.
Step 2: Tap in the upper-right corner (Android) or in the bottom-right corner (iOS).
Step 3: Tap your name to go to your profile page.
Step 4: Tap Photos.
Step 5: Tap Albums.
Step 6: Tap Profile Pictures.
Step 7: Select the picture you want to delete.
Step 8: Tap (Android) or (iOS).
Step 9: Tap Delete photo.
Step 10: Tap Delete to confirm your action.