Cranston will play Lyndon B Johnson, the 36th President of the United States in the play, which begins with President John F Kennedy's 1963 assassination that brought Johnson in the Oval office, reported New York Daily News.
"It's an exciting new American play that deals with LBJ's quest for legitimacy," the show's producer Jeffrey Richards said.
"It deals with a year in American history that was a tumultuous year and an exciting year. The writer has brought it to life vividly," Richards said.