The film, based on an original idea and written by Besson, began shooting in November 2017.
The projects will carry a budget of about $25 to $35 million per film.
Anna is an English-language action thriller, budgeted in the $30 million range.
The Hollywood Reporter has brought word that the upcoming Luc Besson crime-thriller Anna, which has been ready for a theatrical release for almost two years, is finally heading to theaters on June 21 through Lionsgate’s Summit label.