Ward was 17 of 21 for 274 yards and led the Cougars (3-0) in rushing with 91 yards on 10 carries.
Tyler Jones threw for 288 yards but had two interceptions for Texas State (1-3).
Ward gave Houston a 7-0 lead when he found Chance Allen from 32 yards. Jones tied the score at 7-7 on a 4-yard run near the end of the first quarter. Houston's four second quarter touchdowns put the game out of reach.
William Jackson III had a pick-6 when he intercepted Jones and ran 35 yards to make it 42-7 just before halftime. It was the most points Houston scored in the first half since a 54-7 lead over Texas State on Sept. 4, 2010.
With 689 yards offense, the Cougars now average 591 per game.
AP College Football website: www.collegefootball.ap.org