The psychological drama will preview for two days at the Playhouse Theatre before opening Feb. 9 for a 12-week run.
The play centers on a young man who deceives his way into an elderly eccentric’s home before exerting his influence on the homeowner.
In the play Richardson takes on the role of Edward Kimberley. Richardson was last seen on the West End stage in Arthur Wing Pinero’s celebrated farce The Magistrate, which transferred to the Savoy Theatre from the Chichester Festival in 1997.
The revival of The Creeper, which is produced by Matthew Gale, Jenny King and Steve Wilkinson, will transfer to the West End after a regional tour.
Included in the cast are Oliver Dimsdale, Alan Cox Robert Styles and Harry Towb. Bill Bryden’s (Good Hope, Tristan and Yeseult) production will be designed by Hayden Griffin and lit by Mick Hughes.
Currently, the Playhouse is host to Jonathan Kent’s revival of As You Desire Me, which finishes its run Jan. 22.