Daryl McCoy had 13 points and nine rebounds for the Dragons (23-5), who won their 15th consecutive game in the Bracket Buster matchup. Sammie Givens had eight points and a game-high 14 rebounds.
Drexel took a 19-3 lead on a layup by Chris Fouch. The Dragons went into halftime with a 16-point lead and claimed a 60-31 lead - their largest of the game - on Fouch's 3-pointer.
Fouch and Frantz Massenat each finished with 10 points for Drexel.
Trevon Harmon scored 23 points and was the only player to score in double figures for Cleveland State (20-8), which has lost four straight. The Vikings struggled from the field, shooting 27 percent (17 of 63) and made 7 of 28 shots from beyond the arc.