Khyle Marshall added 16 points for the Bulldogs (13-5, 5-1), who are tied with Valparaiso atop the Horizon League standings. Andrew Smith scored 15 points, Shawn Vanzant 14 and Shelvin Mack 10.
Chase Simon's 19 points paced the Titans (10-8, 4-2), who had only three assists on 21 baskets. Chris Blake scored 15 points and Jason Calliste 11.
Three consecutive baskets by Smith broke a 12-12 tie and put Butler ahead 18-12 with 11:59 left in the first half. Detroit never led again.
The Titans went scoreless the last 5:26 of the first half, watching a 33-20 deficit balloon to 42-20 at intermission. The lead peaked at 30 in the second half.