You can delete an album from the All Albums page.
Important! Deleting an album breaks the links to any content that was previously linked in this album from Photobucket.
1. Log into your Photobucket account.
2. Click All Albums in the secondary menu. A list of all your albums displays.
Note: An album must be empty (all media and nested albums must be gone) or it cannot be deleted.
3. Mouse over the album you want to delete, and click the delete link. A pop-up displays.
4. Click OK to remove the empty album.
Taken from Photobucket help section.
