49 seconds from the end, Houston scored on Conner Weigman’s 10-yard pass to Patrick Overmyer, but Weigman was ruled short on the tying 2-point run after review.
Texas Tech survived an early 10-0 hole after Thomas Castellanos opened with an interception, then Will Hammond steadied the offense and hit Kenny Johnson for a 35-yard touchdown.
J’Koby Williams’ 29-yard run gave the Red Raiders a 21-17 third-quarter lead, and Cameron Dickey capped an 87-yard, 11-play fourth-quarter drive with the decisive 1-yard score.
Weigman kept Houston alive with 282 passing yards and 3 touchdowns, including a 46-yard strike to Koby Young, but the Cougars fell to 2-1 in their Big 12 opener.
Texas Tech moved to 3-0 and 1-0 in conference play, escaping its first major test despite a shaky start and a late defensive stand.