Fellow freshman Joel Embiid provided 14 points and three blocks for the Jayhawks (15-4, 6-0 Big 12), who dominated the boards by a 40-24 margin.
Perry Ellis grabbed a career-high 14 rebounds to go with eight points as Kansas avoided a letdown following four straight wins over ranked opponents.
Brandon Parrish paced TCU (9-10, 0-7) with 15 points.
Amric Fields had 13 points and seven rebounds.
2014: The Year in Music [PHOTOS]