The 58-year-old actor - who is best known for his starring roles in the crime drama series 'Breaking Bad', comedy series 'Malcolm in the Middle' and the sitcom 'Seinfeld' - has been brought in to produce the Harvey Weinstein-led stage show.
A source told the New York Post newspaper: "Rarely do celebrities invest in projects, so this is a big sign of (Bryan's) faith in the show."
Cranston won a Tony for Best Actor in 2014 as LBJ in the stage show 'All the Way', which Weinstein produced.
The actor was in London earlier this week to meet with Take That star and composer Gary Barlow, who previewed tunes from the much-anticipated show.
Meanwhile, Weinstein - who won an Academy Award for producing the 1998 hit film 'Shakespeare in Love' - has also been courting British entertainer James Corden for a role in another new Broadway musical 'Around the World in 80 Days'.
The pair reportedly discussed the project at Weinstein's Oscars party, with the 36-year-old star getting the chance to hear some of the songs the stage show will feature.