The Matt Reeves-directed movie’s cast includes Andy Serkis, Jason Clarke, Kodi-Smit McPhee and Gary Oldman.
The sequel is set in an apocalyptic future more than a decade after Rise of the Planet of the Apes, in which the ape population far exceeds humans.
Sims will play a military operative named Werner – a supporting role.
He’s appeared on the big screen in films like Dreamgirls and Jarhead, as well as on the small screen on shows like Franklin & Bash and Emily Owens M.D.
Fox has set the film for release on May 23, 2014.