SMU had 323 yards on the ground with six touchdowns.
Prescott Line and Braeden West added rushing touchdowns in the fourth quarter for SMU (2-9, 1-6 American).
SMU took a 7-0 lead early in the first quarter when Zach Wood blocked a field goal and R.C. Cox returned it 66 yards for his first-career score. Davis had a 13-yard touchdown on a run later in the quarter and SMU scored 21 straight in the second quarter for a 35-7 halftime lead.
Jones had touchdown runs of 1, 5 and 35 yards in the second quarter.
Tanner Lee was 9-of-22 passing for 103 yards and a touchdown for Tulane (3-8, 1-6).