Juile, an airline hostess, has her mind made up to marry South American millionaire Rico Vargas, in spite of the efforts made by her former boyfriend, Lee Darling, a television star, to win her back. Rico's sister, Astra, makes a play for Lee, who only responds to make Julie jealous. As the plane bearing Juile and others (includng all the credited musicians and bands) is about to depart, Herb Jefferies smuggles Lee on board so he can have a chance to dissuade Julie.

Two escaped convicts are found hiding in a rocketship built by a renegade inventor, who forces them to become the crew for a trip to the Moon. Also on board, as inadvertent stowaways, are his assistant and his secretary; and none of them are aware that the inventor is actually a Lunarian explorer sent to Earth by the dying Lunar civilization and the only remaining male member of that civilization.