Drake (13-15) also got 15 points and 10 rebounds from Seth VanDeest, 14 points from Chris Hines and 10 points from Ken Babineaux.
Green Bay (15-13) got 12 points apiece from Keifer Sykes and Brennan Cougill. Sykes also had three steals.
Drake hit 9 of 21 attempts from 3-point range, including four from Hines.
Drake had a 20-3 scoring advantage off turnovers.
Green Bay had a 10-point lead with 13:19 left in the first half, but could not hold on a trailed by 2 at the break.