To block someone through your timeline post, do the following;
1. Log in to your Facebook account
2. Scroll to the content posted by the person you want to ban or block and select the “X” button near his/her name and a drop-down will appear.
3. Next, from the drop-down menu, select “Delete”.
4. Finally, choose “Delete and Ban User” to remove the post from the business page and block the person from the page.
To block someone through the admin panel, do the following;
1. Log in to your Facebook account
2. You’ll need to click on your business name from the drop-down menu beneath the arrow on the menu bar of your Facebook page.
3. Choose the “Show” button on the business page to open the Admin Panel.
4. Choose the “See All” link in the New Likes section to view the list of people who like your business page.
How to Ban Someone Via Comment
1. Scroll to a comment the person made on any post on your business Timeline.
2. Choose the “X” button that appears to the right of the post. A message stating, “You’ve Hidden This Comment So Only The Person Who Wrote It And Their Friends Can See It. Undo This Or Delete This Comment” appears.
3. Choose “Delete This Comment.”
4. Choose the “Ban (User Name)” link in the line that states “You Can Also Report It as Abusive, or Ban (User Name).”
Smart Read:
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Can You Ban Someone From Your Business Page on Facebook?