When the pilot of a small aircraft has a heart attack and crashes his plane into the cockpit of a Boeing 747, several members of the flight crew are killed and the pilot is blinded. Miraculously, the 747 stays in the air on auto-pilot with flight attendant Nancy Prior at the controls. Ground controllers, including her boyfriend Alan Murdock, try to teach her the basics but they soon realize they will have to get a trained pilot into the cockpit. Their first attempt fails and Murdock realizes he will have to do it. Meanwhile, various passengers have their own problems including a young girl who is destined to a life saving operation.

Professional daredevil and white-suited hero, The Great Leslie, convinces turn-of-the-century auto makers that a race from New York to Paris (westward across America, the Bering Straight and Russia) will help to promote automobile sales. Leslie's arch-rival, the mustached and black-attired Professor Fate vows to beat Leslie to the finish line in a car of Fate's own invention. The Blake Edwards style of slapstick and song originated with this movie. A dedication to Laurel and Hardy appears at the beginning of the film. Edwards' tribute to Stan and Ollie can be seen most clearly in the interaction between Professor Fate and his cohort Max, as well as in the operatic Pottsdorf pie fight.