Iyapo Montgomery hit three straight 3-pointers to spearhead the run, and Carl Pickett converted a layup and two free throws in the final 30 seconds for Detroit (18-10), which is seeded fourth in the MCC.
The loss snapped Wisconsin-Green Bay's 23-game winning streak, the second-longest in the nation to Kentucky's streak of 25 wins. Despite the loss, Wisconsin-Green Bay (25-3), which was 16-0 in the regular season in the MCC, will likely receive an NCAA Tournament berth.
Detroit (18-10) will play Northern Illinois in Tuesday's MCC tournament championship game. The winner receives an automatic berth to the NCAA Tournament.
Wisconsin-Green Bay held a 48-40 lead with seven minutes left but managed just two points the rest of the way. Meanwhile, Montgomery, who had two points in the game, hit three consecutive 3-pointers to give Detroit a 51-50 lead with 2:14 left.
Pickett hit a layup with 30 seconds left and added two free throws with 12 seconds remaining to increase Detroit's lead to 55-50.
Pickett and Jermaine Jackson led Detroit with 13 points apiece, and Montgomery and Leon Derricks each scored 11.
Wisconsin-Green Bay star Jeff Nordgaard scored only 11 points on 4-of-12 shooting from the field. Eric Jackson also had 11 for the Fighting Phoenix.
Wisconsin-Green Bay has appeared in the NCAA Tournament each of the last two seasons.