Kelvin Lewis added 15 points for Houston (17-4, 6-1 Conference USA). Tafari Toney scored 13 and Lanny Smith had 11.
Ben Uzoh's 17 points led five players scoring in double figures for Tulsa (10-10, 2-6). Jerome Jordan led the Golden Hurricane with 11 rebounds.
Tulsa shot 43 percent from the field to 49 percent for Houston. Tulsa won the rebounding contest, 44-31.