Elijah Johnson contributed 12 points and Travis Releford added 10 for the Jayhawks (15-1, 3-0 Big 12), who haven't lost since they fell to Michigan State in the second game of the season.
Kansas connected on only 23 of its 61 shots but used a stingy defense to hold Baylor to just 23.2 percent shooting from the floor while blocking 13 shots.
Isaiah Austin paced the Bears (11-5, 3-1) with 15 points and 11 rebounds.
Pierre Jackson also reached double figures with 10 points for Baylor.
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