Freshman Anthony Davis led a strong defensive effort with 16 rebounds, six blocked shots, six points and five assists for the Wildcats (38-2), who built up an 18-point lead and then weathered a second-half comeback try by the Jayhawks.
Trailing by 14 at the half, Kansas cut the deficit to five points with 1:37 remaining on a pair of Thomas Robinson free throws, but the top-seeded Wildcats connected on 5-of-6 foul shots down the stretch the ice the victory.
Marcus Teague made a key 3-pointer with 2:50 left and finished with 14 points. Michael Kidd-Gilchrist added 11 and six rebounds for the victors.
Tyshawn Taylor netted 19 points and Robinson ended with 18 points and 17 rebounds for second-seeded Kansas (32-7).