Charles Sims added 134 yards on 26 carries and Kenneth Farrow and Ryan Jackson each ran for a touchdown for the Cougars (3-3, 2-0 Conference USA). Shane Ros led Houston with seven catches for 114 yards and one touchdown.
Hogan connected on six of seven field goal attempts, the longest from 52 yards.
UAB's Austin Brown was 20 of 43 for 302 yards and connected with Jay Davis on a 16-yard touchdown pass. Greg Franklin added a touchdown on a 4-yard run for the Blazers (1-5, 0-2).
Ty Long connected on a 27-yard field goal for UAB.
Houston rolled up 566 yards of total offense to 374 yards for the Blazers.