Babies can communicate with each other using 'baby talk', and have innate knowledge of the secrets of the universe. The infant geniuses become involved in a scheme by media mogul Bill Biscane. Assisting the geniuses is a legendary superbaby named Kahuna, who joins up with several other babies in an attempt to stop Biscane, who intends to use a state-of-the-art satellite system to control the world's population.

Angst-ridden Charlie Brown attempts to motivate his team, while Lucy in right field nettles poor Chuck into a nervous wreck. With their losses mounting, Charlie Brown tries every remedy to score a win--even trading his own dog--yet nothing improves the team's dismal record. Then Chuck orchestrates "the greatest trade in the history of baseball."