Princeton opened the second half on a 20-2 run to extend its lead to 57-33 with 10:01 left. Darien Nelson-Henry's hook shot in the lane with 8:30 remaining was Penn's first made field goal of the second half after missing 12 straight.
Spencer Weisz hit three of Princeton's 11 3-pointers and finished with 16 points.
Penn scored the first eight points of the game but Princeton (16-14, 9-5 Ivy League) pulled away late on a 9-2 run, with seven points by Brase, for a 36-27 lead.
Antonio Woods, who had a team-high eight points, went coast-to-coast for a layup just before the halftime buzzer to pull Penn (9-19, 4-10) within 37-31.
It was Jerome Allen's final game as head coach of Penn after five full seasons.