Caught by tabloid paparazzi with his mistress Elena, a famous and beautiful fashion model, billionaire Pierre Levasseur tries to avoid a divorce by inventing a preposterous lie. He uses the presence of a passerby in the photo to claim to his wife that it's not him Elena is seeing but the other man, one François Pignon. Pignon is a modest little man who works as a parking valet. To make the story convincing, Elena has to move in with Pignon.

On his first day after being released from jail for 14 armed bank robberies, Lucas finds himself caught up in someone else's robbery. Perry has decided to hold up the local bank to raise money so that he can keep his daughter, Meg, and get her the treatment she needs. Dugan, a detective, assumes Lucas helped plan the robbery, and hence Lucas, Perry and Meg become three fugitives.