Jack Moore made it 10–0 at halftime on his 21-yard field goal with :42 remaining in the half.
Texas Tech responded with a Larry Hargrave 50-yard run that set up Doug McCutchen's 7-yard touchdown score to make it 10–7 with 8:13 in the third quarter.
Early in the fourth quarter, the Red Raiders had a chance to take the lead.
A Tech fumble was recovered by Bill Flowers at the Red Raider 25, and Kevin McNamara ran in for a 2-yard score six plays later to make it 19–10 with 1:44 remaining.
Quarterback Jack Williams completed 11 of 14 passes for 123 yards for the Yellow Jackets.