His plays have been performed nationwide, including on Broadway and Off-Broadway. His works include Sister Mary Ignatius Explains It All for You, Beyond Therapy, Baby With the Bathwater, The Nature and Purpose of the Universe, Titanic, A History of the American Film,The Idiots Karamazov The Marriage of Bette and Boo, Laughing Wild, 'Dentity Crisis, The Actor's Nightmare, The Vietnamization of New Jersey, Betty's Summer Vacation, Adrift in Macao, Mrs. Bob Cratchit's Wild Christmas Binge, Miss Witherspoon, and a collection of one-act parodies meant to be performed in one evening entitled Durang/Durang that includes "Mrs. Sorken", "For Whom The Southern Belle Tolls" (a parody of The Glass Menagerie by Tennessee Williams), "A Stye Of the Eye", "Nina in the Morning", "Wanda's Visit", and "Business Lunch at the Russian Tea Room".
Durang has performed as an actor for both stage and screen. He first came to prominence in his Off-Broadway satirical review Das Lusitania Songspiel, which he performed with friend and fellow Yale alumna Sigourney Weaver. Later he co-starred in one of his own plays as Matt in The Marriage of Bette and Boo.
He has also written a number of unproduced screenplays, including The Nun Who Shot Liberty Valence, The House of Husbands (which he co-authored with Wendy Wasserstein), and The Adventures of Lola.
Durang has been awarded numerous fellowships and high profile grants including a Guggenheim, a Rockefeller, the CBS Playwriting Fellowship, the Lecomte du Nouy Foundation grant, and the Kenyon Festival Theatre Playwriting Prize.
He is a member of the Dramatists Guild Council, and is co-chair of the playwriting program at Juilliard. He was also a finalist for the Pulitzer Prize in Drama in 2006 for Miss Witherspoon.