Stapp followed Kid Rock, who has already filed a similar case for the same video, which stars the two singers with four women.
Stapp asked a Los Angeles court to stop World Wide Red Light District from commercialising the tape.
A judge agreed to put a temporary stop on the release of the tape and of releasing teasers of the tape.
Stapp alleges in his claim that the video was stolen from his home and was never intended for public viewing.