SMU opened the scoring on a Garrett Gilbert eight yard touchdown pass to Darius Johnson to put the Mustangs up 7-0.
Houston answered on an 11-play, 75-yard drive that culminated in a one-yard touchdown run by Charlie Sims to tie the game at 7-7 with 8:22 left in the first quarter.
The Mustangs answered right back on the ensuing offensive possession as they went 75 yards in eight plays, ending with a Zach Line touchdown run of 12 yards and giving SMU the 14-7 lead after one quarter.
Houston is 3-3 and 2-0 in conference play while SMU has a 2-4 record overall and is 1-1 in conference play this season. Both Houston and SMU trail 4-0 Tulsa for first place in the Conference USA West standings. Tulsa plays Rice this Saturday.