Warner Bros is courting Lana and Andy Wachowski for its superhero ensemble movie, reports Movie Hole.
The studio is said to be very pleased with the pair's work on the forthcoming Cloud Atlas film adaptation.
Ben Affleck has also been connected to the director role, a rumour that he has denied.
The Wachowskis are best known as the directors of the Matrix trilogy. They also wrote and produced the movie adaptation of Alan Moore's V for Vendetta comic.
The Justice League movie is planned for release in 2015.
Watch the trailer for Cloud Atlas below: