The clip, released Monday, features Jones portraying a younger Ginsburg as she begins her career before joining the Supreme Court in 1993.
Jones is seen taking on one of Ginsburg's earliest cases where she argued in front of the Supreme Court in 1975 to defend a widower's rights.
"If the law differentiates on the basis of sex, when will men and women ever be equal?" Jones says.
On the Basis of Sex, directed by Mimi Leder from a script by Daniel Stiepleman, is set to arrive in theaters on Dec. 25.
A poster for the film featuring Jones standing tall in front of the Supreme Court building, was released on Twitter.