 He first worked on Broadway as a second assistant set designer to Jo Mielziner on "The Most Happy Fella" in 1956.Lee's first Broadway play as Scenic Designer was "The Moon Besieged" in 1962; he went on to design the sets for over 20 Broadway shows, including "Mother Courage and Her Children", "King Lear", "The Glass Menagerie", "The Shadow Box," and "For Colored Girls Who Have Considered Suicide When the Rainbow Is Enuf".He has won the Drama Desk Award for Outstanding Set Design, a Helen Hayes Award, and in 1983 he received a Tony Award for Best Scenic Design for "K2".