Mimi Leder is directing the film with a script from Daniel Stiepleman, Variety reported. Focus Features and Participant Media are handling the project with Robert W. Cort producing.
The film is set to begin production in Montreal in September, notes Deadline. On the Basis of Sex will follow Ginsburg's career-spanning fight for equality.
President Bill Clinton appointed Ginsburg to the Supreme Court in 1993. Jones recently starred as protagonist Jyn Erso in Rogue One: A Star Wars Story. She is also in Universal's upcoming adaptation of Swan Lake from director Luca Guadagnino.