Braff is known for his lead role on the sitcom "Scrubs," as well as for writing, directing and starring in the film "Garden State."
In "Bullets," he will play David Shayne, a scribe whose play will performed thanks to the wealthy gangster who wants to produce it as a vehicle for his girlfriend.
The cast will also feature Brooks Ashmanskas, Betsy Wolfe, Lenny Wolpe, Helene Yorke and Vincent Pastore.
Preview performances are to begin March 11. Opening night is set for April 10 at the St. James Theatre.