After health-store owner Miles Monroe (Woody Allen) dies during a routine surgery, his family has him cryogenically frozen. He awakens 200 years later, revived by a group of underground radicals who oppose the oppressive regime in power. Once the police arrive to arrest the group, Miles flees, disguised as a robot. He meets Luna Schlosser (Diane Keaton), and they gradually fall in love. When Miles is later captured by the authorities, Luna seeks out the rebels to help rescue him.