Mass Appeal has won several awards, including the Distinguished Performance Award for Milo O’Shea at the Drama League Awards, the John Gassner Playwriting Award for Bill C. Davis at the Outer Critics Circle Awards, the Performance Award for Michael O'Keefe at the Theatre World Awards, the Outstanding Director of a Play for Geraldine Fitzgerald at the Drama Desk Awards, the Outstanding Play for Bill C. Davis at the Drama Desk Awards, and the Lucille Lortel Award for New Director for Geraldine Fitzgerald at the Outer Critics Circle Awards.