Meanwhile, Gale has penned the story, with lyrics from Back to the Future score composer Alan Silvestri and Glen Ballard.
Also, 1950s rock n’ roll songs from the movie like Johnny B Goode will be included in the show too.
According to The Guardian, Gale and Back to the Future director Robert Zemeckis had “been trying to get this project off the ground for years, but good things take time and finally, the time is right.
“Our cast is outstanding, the songs are fantastic, and director John Rando is doing an amazing job ensuring the show truly captures the magic of the movie.”
Gale added: “We’re thrilled that we can retell our story on stage in a brand-new way.”
Meanwhile, the film’s Doc Brown star Christopher Lloyd said: “Ever since Bob Gale told me about this, I’ve been eagerly anticipating it and, in particular, wondering what it will be like to hear Doc Brown sing.
“I’m only sorry I don’t have a real time machine so that I could see it tomorrow.”
Last year, Back to the Future made the Top 10 in a UK poll of the most wanted stage musical adaptations.
Back to the Future came fifth in the poll, while Hugh Jackman’s The Greatest Showman’s was No 1 with 15% of the vote.
Meanwhile, second, third and fourth places went to Moulin Rouge, Wuthering Heights and Bridget Jones’ Diary.
At least one of those is now finally happening, and The Greatest Showman may be following too.
Fans can sign up for priority tickets for Back to the Future the Musical on the show’s official website here.