Rob Gray scored 20 points, Devin Davis had key points late and Houston held off UCF 69-65 on Saturday.
Davis split two UCF defenders and laid the ball in just before the shot clock ran out for a 65-61 lead with a minute to go and added two free throws with 34 seconds remaining for a six-point lead.
Gray was 7-of-15 shooting with five assists. Corey Davis Jr. had three 3-pointers and 15 points while Breaon Brady grabbed nine rebounds.
The Cougars (17-5, 7-3 American) led the whole way and were up 10 with 15:21 remaining before the Knights (14-8, 5-5) got within two, the final time at 63-61 on B.J. Taylor's bucket with 2:13 left.
A.J. Davis had 13 points and 10 rebounds with Taylor adding 15 points and Ceasar DeJesus and Davon Griffin 10 points each for UCF.