The Rams rushed for 273 yards en route to a 30-22 win over the Cowboys in Los Angeles to advance to the NFC Championship Game.
C.J. Anderson picked up 123 yards and two touchdowns while Todd Gurley the Second rushed for 115 yards and a score.
Greg Zuerlein kicked three field goals for Los Angeles, which will make its first appearance in the NFC Championship Game since 2001 when they were in St. Louis.
They will await the winner of the New Orleans and Philadelphia game on Sunday.
Dak Prescott threw for 266 yards and a touchdown while also rushing for a score in the loss.
Ezekiel Elliott and Amari Cooper each found the end zone for Dallas, which has not advanced past the Divisional Round since 1996.