Texas (28-6) made 12 3-pointers and had four players score in double figures, but it still wasn't enough to give the Longhorns their first Big 12 title in five title-game appearances.
D.J. Augustin of Texas had 20 points and hit four 3-pointers, though he scored just two points and missed all nine of his shots in the second half. A.J. Abrams scored 13 of his 15 points in the second half and Justin Mason added 17 points for Texas.
Texas-Kansas is quickly becoming one of the best matchups in college basketball, despite 700 miles and a state separating the campuses.
They have combined to win or share six of the past seven regular-season conference titles and the past three tournaments. Kansas is headed to the NCAA tournament for the 19th straight year and Texas is making its 10th consecutive trip. Both teams reached the 2003 Final Four and Kansas went the year before.
They have also played some memorable games over the past few years, perhaps none better than last year's Big 12 tournament title game, when Kansas rallied from a 22-point deficit to beat the Longhorns 88-84 in overtime.
Their only meeting this season, Feb. 11 in Austin, was another thriller, with Texas pulling out a 72-69 win over the third-ranked Jayhawks.
This one was no different, both teams racing up and down the court, trading 3-pointers and dunks.
Kansas made sure the rowdy fans didn't stay in their seats long, hitting eight of its first 10 shots, including all four 3-point attempts. Chalmers led the way, going 5-of-6 from 3-point range and finishing the first half with 17 points. Rush hit four 3-pointers for 12 points.
Texas got an early lift from Mason, a 7.0 scorer this season who hit two 3-pointers and had 10 points in the first 9 minutes.
Augustin then took over, scoring 10 points in 5 minutes, including two on an incredible fadeaway over the corner of the basket. He added a 3-pointer from the wing, finishing the first half with 18 points and making all four of his 3-point attempts.
By the time the teams were done trading blows, Kansas had made nine 3-pointers and was 17-of-29 overall, while Texas had hit eight 3-pointers and was 18-of-31, good enough for a 46-45 lead.