Will Spradling and Rodney McGruder had 10 points each for the Wildcats (17-6, 6-5 Big 12).
Luke Adams, a 5-foot-9-freshman, scored 15 points for the Red Raiders (7-16, 0-11).
Offense was a challenge for both teams, especially in the first half. Kansas State shot 6 of 26 (23.1 percent) in the half but led 31-17 at the break.
Midway through the first half, there was a stretch of more than five minutes where neither team scored.
Texas Tech went 8 minutes, 24 seconds without a field goal in the first half and did not make its first basket of the second half until Jaye Crockett sank a baseline jumper with 10:11 remaining.
The Red Raiders cut the lead to 50-40 with 2:53 remaining after an 18-3 run that featured three Adams 3-pointers, but Kansas State regrouped and pulled away.