Pierre Morel is directing the drama that starts production on Valentine's Day in Paris, Daily Variety reported Monday.
Neeson will play a former soldier seeking his daughter who was kidnapped by European slave traders.
Neeson was next supposed to play Abraham Lincoln in Steven Spielberg's screen adaptation of Doris Kearns Goodwin's book about the U.S. president, but that film was put on hold while Spielberg turns his attention to a fourth "Indiana Jones" installment.
Morel and Besson worked together on "Banlieue 13," "The Transporter" and "Danny the Dog." Besson and Kamen, meanwhile, worked together on "The Transporter" films, "Kiss of the Dragon" and "The Fifth Element."