Felicity Jones will play the lead role and Armie Hammer will portray Ginsburg's husband, Marty, reported Variety.
Mimi Leder is directing a script by Ginsburg's nephew, Daniel Stiepleman.
The film will bring to silver screen the first landmark gender discrimination case before the Supreme Court of the United States.
Theroux will play Mel Wulf, a longtime national legal director of the American Civil Liberties Union. Bates will portray attorney and activist Dorothy Kenyon and Waterston will play Erwin Griswold, who served as Solicitor General of the United States under Presidents Lyndon Johnson and Richard Nixon.