The musical will feature the songs "Billie Jean", "The Way You Make Me Feel", "Beat It" and "Smooth Criminal", among his other hits.
The show is set to open in the wake of controversy amid allegations from victims in HBO's Leaving Neverland documentary.
Wade Robson and James Safechuck both alleged Jackson groomed and sexually assaulted them when they were young boys.
The musical was originally meant to debut in Chicago this year, but the Michael Jackson estate cancelled the run due to "scheduling difficulties" three weeks after the documentary's debut at Sundance Film Festival, The New York Times reported.
Jackson's family has repeatedly denied the allegations.