The film, which is set to hit theatres on March 9 next year, will be called "The Upside", according to The Hollywood Reporter.
The story follows the unlikely friendship that blossoms between a wealthy paraplegic (Cranston) and a street-wise man (Hart) he hires as his aide.
Neil Burger is directing from a script by Jon Hartmere, while Harvey Weinstein, Jason Blumenthal and Todd Black are producing.
Nicole Kidman, Julianna Margulies and Aja Naomi King are also featured in the dramedy.