Doron Lamb led the Wildcats (2-0) with 17 points and Terrance Jones chipped in 15 points.
Tyshawn Taylor led Kansas (1-1) with 22 points. Thomas Robinson contributed a double-double of 11 points and a dozen rebounds to the cause.
The score was tied 28-28 at halftime as Kentucky struggled to get into a groove.
The Wildcats erupted for 47 points in the second half. Marquis Teague and Michael Kidd-Gilchrist both scored 12 points in the half for the Wildcats, who shot 52 percent from the field for the game compared to 33.9 percent for Kansas.
Notable deaths of 2014 [PHOTOS]