The Explorers hit on 11 of their first 13 shots in jumping out to a 24-17 lead. La Salle, with eight players scoring, hit on 15 of 24 shots in the first half in taking a 34-22 lead, while Howard connected on only 9 of 29.
The Bison closed to within 41-33 on a 3-point shot by Kyle Riley with 14:28 left to play, but La Salle went on a 15-8 run and was not threatened again.