Ashley Sweat added 14 points for the Wildcats (22-6, 9-6 Big 12). Brittainey Raven led the Longhorns (20-9, 8-7) with 12 points.
Neither team could gain control of the game until the Longhorns used an 8-0 run -- all by Erika Arriaran -- to take a 20-13 lead midway through the half. But two straight baskets by Kansas State's Shalee Lehning sparked an 18-5 run that gave the Wildcats a 31-25 lead at the break.
A basket by Raven cut the deficit to 4 with 16:47 left in the second half. But the Wildcats held Texas without a field goal for nearly nine minutes and used a 17-3 run to extend their lead to 54-36 with 6:10 remaining.
Kansas State maintained a double-digit lead for the rest of the game.