The actors - who's pictures were reportedly used by FRY ELECTRONICS without proper authority - are seeking $10 million (GBP6.5 million) each in damages.
The lawsuit - filed Monday (07APR03) in Los Angeles Superior Court - claims the ads could diminish their "hard-earned and well-deserved reputations as major motion picture stars and risks the potential for overexposure".
It also says the photos ran in the Los Angeles Times and other major newspapers.
Representatives of Fry's - which has its headquarters in San Jose, California, and stores in Texas, Arizona and Oregon - did not immediately return calls for comment.
Similar lawsuits involving unauthorized uses of celebrities in advertising were filed recently against cosmetics chain SEPHORA USA by superstar couple Matthew Broderick and Sarah Jessica Parker, and the divorced actors NICOLE KIDMAN and TOM CRUISE.