The Heiress has won several awards, including Outstanding Costume Design (Drama Desk Awards) for Jane Greenwood, Outstanding Director - Play (Drama Desk Awards) for Gerald Gutierrez, Outstanding Lighting Design (Drama Desk Awards) for Beverly Emmons, Outstanding Revival - Reinterpretation (Drama Desk Awards) for Lincoln Center Theatre, Distinguished Performance Award (Drama League Awards) for Cherry Jones, Best Off Broadway Musical (Outer Critics Circle Awards) for Cherry Jones, Best Revival - Play (Outer Critics Circle Awards), Costume Design (The Hewes Awards) for Jane Greenwood, Lighting Design (The Hewes Awards) for Beverly Emmons, and Scenic Design (The Hewes Awards) for John Lee Beatty.