The Jayhawk defense held the Longhorns to just 37 percent shooting and forced 20 turnovers that resulted in 29 Kansas points.
Senior Keith Langford added 17 points and five assists, while fellow senior Aaron Miles also scored in double-figures with 10 points and a game-high eight assists. Sophomore J.R. Giddens scored 10 points and dished out a career-high five assists.
Kansas controlled the entire first half and went into the break with a 15 point lead as junior Jeff Hawkins connected on a three at the halftime buzzer. The Jayhawks pulled away in the second half as they shot 52 percent from the field and connected on 10-of-11 free throws.
"Our guys were great tonight," Kansas head coach Bill Self said. "We executed great against the zone and defended well the entire game.
"Now we have to get ready to go Monday against Missouri," Self added.
For the second straight game, KU dished out 24 assists.
The Longhorns were led by freshman Daniel Gibson who scored 19 points. Junior Kenton Paulino and senior Jason Klotz each added 12 points in the loss. Junior Brad Buckman was held to just three points on 1-of-7 from the field but grabbed a game-high 11 rebounds.
Kansas (16-1, 6-0 Big 12) will have just one day off before rival Missouri comes to town for round one of the Border Showdown Monday night. Tip-off is scheduled for 6 p.m.