Stop search engines from indexing your Facebook profile
If you want to prevent your profile timeline on Facebook from being indexed in search engines, you can customize your privacy settings. If you don't want search engines to link to your profile, follow the steps below.
How to stop search engines from indexing your Facebook profile
Step 1: Go to Facebook and sign in to your account.
Step 2: Click at the top right and select Settings.
Step 3: Click Privacy in the left column.
Step 4: In the How People Find and Contact You section, click Do you want search engines outside of Facebook to link to your profile?.
Step 5: Uncheck the box next to Allow search engines outside of Facebook to link to your profile.
Your public information and things that you share to the public (comments, posts on Public groups, etc) may still appear in search engines even if you select No.