A neurotic, young psychology student, with low self-esteem, has a chance encounter with a free-spirited, extremely gregarious woman who works at the Paris Health Club in New York City, and who suggests that they immediately get married to see how it will work out. Both of the student's parents are analysts, and they provide the happy couple with a gift certificate for a year of marriage counseling as a wedding present.

In the wake of their friends' marriages and eventual offspring, longtime pals Julie and Jason decide to have a child together without becoming a couple. By becoming "time-share" parents, they reason, they can experience the joys of parenthood without significantly curbing their personal freedom. However, when Julie and Jason both become involved with others, they discover that they secretly harbor romantic feelings for each other.