Colgate (8-12, 2-7 Patriot League) took the lead midway through the first half on a Clayton Graham layup that made it 16-14 with 12:39 left and never trailed again.
Both teams shot comparably from the field, but Colgate held a nearly 4-to-1 advantage in points from the penalty stripe- hitting 23 of 27 compared to Lafayette's 6 of 10.
The second annual Gavitt Tipoff Games, eight games between members of the Big East and Big Ten to be played Nov. 14-18, will feature Villanova at Purdue in the opener.
Michael Lewis is leaving his assistant coaching job at Butler to take the same position at Nebraska under Tim Miles.
College basketball fans should be excited about next season's Jimmy V Classic, an event that will feature Duke's heralded freshman class.