The Dragons (10-4, 2-2 Colonial Athletic Association) led 22-17 with 6:34 remaining in the opening half and went on a 14-2 run to end the half, taking a 36-19 lead into the break.
A layup from Jamelle Hagins with 11:52 left to play pulled the Blue Hens (7-7, 2-2) to within six, 46-40. Drexel answered with an 8-3 run to extend its lead to 11, 54-43, with 6:07 to go.
Frantz Massenat led the Dragons with 16 points on 5-of-7 shooting.
Drexel, which ranks fourth in the country in rebounds per game (42.5), posted a 38-32 rebounding advantage and outscored the Blue Hens 40-26 on points in the paint.