TaShawn Thomas finished with 11 points, 18 rebounds and 7 blocks, Jherrod Stiggers added 16 points and L.J. Rose chipped in 10 points and five assists as the Cougars (5-0) rallied from a 10-point first half deficit.
James Daniel had a game-high 25 points on 7 of 19 shooting to lead the Bison, who shot 35.5 percent from the floor.
Howard kept it close in the opening minutes of the second half, cutting Houston's lead to 38-35 on a 3-pointer by Daniel with 17:44 remaining.
Houston would pull away from there, jumping out to a 51-37, capping a 13-2 run.
The Bison would cut the lead to eight, 51-43, on a Collins layup with 9 minutes to go, but Houston would not let them get any closer, responding with a 14-6 spurt to open up a 65-49 lead on two free throws by House with 4:43 remaining.
Howard jumped out to a 19-9 lead on a 10-0 run over a two-minute span of the first half, capped by a three-pointer by Daniel with 13:51 remaining in the half. Daniel had six points in the stretch.
Houston responded with a 17-4 run of its own over the next 9 minutes to open up a 26-23 lead on two L.J. Rose free throws with 4:39 left in the first half. Houston had five players score in the run with Rose and House each scoring four points to lead the way.
The Cougars led 34-30 at the half.