The revival of the Tennessee Williams' classic stars Cherry Jones, Zachary Quinto, Celia Keenan-Bolger, and Brian J. Smith.
The induction took place during a ceremony on January 27.
The Tennessee Williams drama, starring Cherry Jones and Zachary Quinto, is officially a hit.
Other guest appearances will include Tyne Daly and Cherry Jones.
John Tiffany's production was originally scheduled to close on January 5.
Guests also included Parker Posey, Sandra Bernhard, and Jeff Goldblum, among many others.