James Sylvester hit two free throws with 2:34 to play to give Coppin St. a 68-60 lead with 2:34 to play. North Carolina A&T went on an 8-2 run, capped when Ahmad Abdullah hit a jumper with five seconds left to cut the lead to 70-68 but the Aggies ran out of time.
Coppin State (5-14, 3-3 Mid-Eastern Athletic) led 33-30 at the break.
The teams combined to commit 47 fouls.
Coppin State, which hit four 3s, has made at least one 3-pointer in 178 straight games, the longest streak in the NCAA.