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A baby, abandoned at United Nations Headquarters, is put in the care of Frank Larrimore, a bachelor who is in charge of the women's rights department at the U.N.  His impassioned pleas for a good life for every child, delivered on his radio program, prompted the mother to leave the baby.  The baby cannot be turned over to New York City authorities because the U.N. Building is international territory.

Frank smuggles the child into his apartment in a dog carrier because his landlord forbids children.  Frank's playboy friend Randy uses the baby as an excuse to invite a number of international beauties from the U.N. to Frank's apartment.  Lisette, a U.N. guide and the woman in whom Frank is romantically interested, leaves in disgust when the gathering turns into a party.

On Monday no solution is found, and Frank is forced to keep the child longer.  He is quoted in the newspapers as saying the baby should go to the best nation in the world, and an international competition for the child develops.  Each of the beautiful international representatives woos Frank in the hopes of winning the baby for her country.

Frank finally arrives at a decision cheered by the delegates:  he will adopt the baby, and Lisette, whom he plans to marry, will be its mother.