Thomas Robinson netted 20 points and pulled 62, at Allen Fieldhouse on Wednesday.
Tyshawn Taylor finished with 21 points, while Jeff Withey put home 15 points for the Jayhawks (18-4, 8-1 Big 12), who bounced back from a tough 72-64 loss to Iowa State on Saturday. Travis Releford contributed 12 points and six rebounds in the victory.
Romero Osby paced the Sooners (13-8, 3-6) with 19 points and seven rebounds, while Steven Pledger had 17 points. Andrew Fitzgerald donated 14 points in the loss for Oklahoma, which failed to carry over momentum from a 63-60 win over Kansas State on Saturday.
Kansas jumped out to a quick 11-4 lead, capped by a Taylor slam with just over three minutes gone in the opening half.
A jumper by Fitzgerald snapped the run and Oklahoma scored five of the next seven points to climb within 13-11 with 12:46 to play in the first half.
Kansas responded with the next five points to take an 18-11 lead, but a slam by Cameron Clark with 8:30 left in the half pulled the Sooners within five.
A trey by Elijah Johnson sparked a 10-4 burst to give the Jayhawks a 30-19 advantage with 5:37 left.
The Sooners closed the first half with a 12-4 run to get within three at the break, 34-31.
Kansas broke the game open in the second half, opening the second stanza with a 14-4 burst, capped by a Robinson dunk to give the Jayhawks a comfortable 48-35 lead.
Kansas continued to score and a trey by Taylor put the Jayhawks up 20 with 11:48 to play and they cruised to the easy win.
The Jayhawks shot an incredible 71 percent from the floor in the second half, while holding Oklahoma to 40 percent en route to outscoring the Sooners, 50-31, in the half.
Kansas holds a 138-64 advantage in the all-time series that dates back to 1920. The Jayhawks have dominated the Sooners of late, winning each of the last nine meetings overall and the last 11 matchups at Allen Fieldhouse...Kansas shot 55.4 percent from the floor, while Oklahoma shot 41.4 percent...Oklahoma turned the ball over 15 times to only 12 for Kansas...Kansas dominated inside, scoring 46 points in the paint, while the Sooners managed only 20 points in the paint.