The company will transform the former Virgin Megastore into a three-story outdoor screen to show the adaptation of the bestselling comic by Joss Whedon and John Cassaday.
Astonishing X-Men is Marvel's second motion comic. Spider-Woman, by Brian Michael Bendis and Alex Maleev, debuted in August.
The premiere will serve as the centerpiece for the first "Marvelfest" in Union Square Park, which will feature appearances by creators, a costume contest and giveaways. The event begins at 6 p.m.