Working Title is currently working on getting the film's starcast together with director James Marsh, who shared the Best Documentary Oscar for 'Man On Wire'.
The film, written by Anthony McCarten, will focus on Hawking's relationship with his wife. The female lead is yet to be cast, the Deadline reported.
It is a strong role as Hawking is famous for achieving so much despite his affliction with Amyotrophic lateral sclerosis (ALS).
Redmayne has also been in negotiation to star with Carey Mulligan and Matthias Schoenaerts in the Thomas Vinterberg directed 'Far From The Madding Crowd'.