The prolific artist has paid homage to Jack Kirby's cover illustrations for Fantastic Four #1, dating back to the 1960s.
Adams's cover depicts the superhero team - which comprises Ant-Man, Medusa, Miss Thing and She-Hulk - battling against a gigantic green monster.
FF is written by Matt Fraction with interior art and a standard cover design by Michael Allred. The book is one of several new titles to debut as part of the Marvel Now! initiative.
Marvel NOW! is being billed as a "refresh" of the publisher's line following the events of Avengers vs X-Men. Marvel senior vice president David Gabriel recently spoke out in defence of the firm's use of variant cover campaigns to promote the event.
FF #1 is released on November 28.