DeMunn received a Tony Award nomination for his performance in K2. Among his other Broadway credits are Spoils of War, Comedians, and Sleight of Hand, as well as revivals of Our Town, The Price, and Hedda Gabler. Off-Broadway he's been seen in Stuff Happens, The Last Days of Judas Iscariot, and One Shoe Off, among others. DeMunn's film credits include The Green Mile, The Shawshank Redemption, and Burn After Reading.