A rich rocket scientist organizes an expedition to the moon, which they discover is inhabited by nude women.

Widower Dr. Matt Younger and his daughter go to London for a month of dirt-bike racing. While there, Dr. Younger is surprised by finding himself attracted to Catherine, a charming but elusive woman who seems to have some mysterious men following her. A romance slowly develops between the doctor and Catherine, but there are complications to their happiness.

Don Gregor, the son of famous plastic surgeon Dr. Boris Gregor, begins to hang around with young criminal Vic Brady and carry a gun. The pair attempt an armed holdup, and when things start to go wrong Gregor accidentally kills a night watchman. Fearing that Gregor plans to turn himself in, Brady kills him and blackmails Dr. Gregor into giving him a new face.