Besson's next movie is an adaptation of the graphic-novel Valerian, with Delevingne and Dane DeHaan in the lead roles, reported The Wrap.
The French director's action-thriller "Lucy" earned in excess of USD 450 million last year.
Based on the hugely popular French book series, Valerian will follow an 11th century peasant girl and her time-travelling companion.
The movie will be written and directed by Besson and produced by his wife Virgnie Besson Silla. Production is set to begin at the end of the year with a global release slated for summer 2017.