He will also be a producer on the project, joining Matthew Vaughn, his X-Men: First Class colleague.
Josh Trank is directing the movie, which centers on the heroes whose Marvel comics kicked off in 1961, said the Hollywood Reporter.
Created by Stan Lee and Jack Kirby, 'Fantastic Four' features a "family" of heroes -- scientist Mr Fantastic, his wife, Invisible Girl; her brothe; the Human Torch and Fantastic's best friend, the Thing.