BuddyPress.org

Also Sven it’s perhaps worth remembering that Buddypress is simply a plugin that rides on the back of the WP install and DB, and in that respect we are really talking about backing up your WP install rather than BP.

As pcwriter says many control panels provide backup facilities, if you haven’t got a CP or access to phpMyAdmin then there are I think backup plugins but you will need to hunt for these on the WP plugin repository also on the WP codex there’s a useful page describing backing up a WP install.