"Peter Pan has delighted people of every generation for more than a century, so we are thrilled to bring him back to the screen next summer for today's moviegoers," Dan Fellman, the studio's president of domestic distribution, said in a statement.
Produced by Greg Berlanti and Paul Webster, the movie is set for release July 17, 2015.
No casting has been announced yet.
Wright's films include "Pride & Prejudice," "Atonement" and "Anna Karenina," all of which starred Keira Knightley.
Pregnant Mila Kunis wins 'Best Villain' at MTV Movie Awards
Biologists detail four new deep-sea 'killer sponges'