Jeff (William Mayer) is a brilliant, dedicated young rocket scientist who wants to be the first man on the moon, so much so that when his uncle dies and leaves him three million dollars, he immediately begins planning his voyage.
He enlists the Professor (Lester Brown) to help him build the homemade rocket ship that will take them both to the moon, though the older, wiser man thinks Jeff should be more interested in love and marriage. So does Cathy (Marietta), Jeff's lovelorn secretary, who stays late every night just to be near him.
The two men take off for the moon, excited about their mission, but run into strange interference. A meteor shower rocks the capsule and both are knocked unconscious. When they awaken, they put on their space suits and venture outside into a strange, alien world.
The vegetation is lush and green and fat gold nuggets are strewn through the grass like dandelions. There is also a race of moon people, who look just like people on earth, except for their antennae and the fact that everyone is nude from the waist up.
The Queen of the Moon (Marietta again) permits the Earth men to continue with their scientific expedition, and they explore and document this idyllic world of nudist moon girls playing space ball.
But the flora specimens and racy photographs aren't enough for Jeff when it's time to leave; he has fallen in love with the Queen of the Moon and refuses to return to the Earth.