The Eagles' Keith Carmichael made a three-pointer with 19 seconds to play to send the game into overtime tied at 71. Carmichael, who finished with a game-high 26 points on 9-for-15 shooting from the field, hit eight three-pointers.
"We decided to give the ball to Keith," said Coppin State coach Fang Mitchell. "The way he was hitting his shots, he was the guy we wanted to get the ball to."
Desi McQueen led the Bulldogs (3-9, 1-2) with 15 points, and Miguel Burns and Derrick Patterson each had 13.
South Carolina State led by three at halftime and pushed the lead to 11 at 55-44 after a Jay Joyner layup with 13:01 to play in the game.
The Eagles went on a 14-5 run to pull to within 60-58 with 8:02 to play. South Carolina State then went up by seven, but Coppin State outscored it 11-4 down the stretch.
In overtime, Allen Watson (12 points) and Joyner traded baskets until Coppin went on a 6-0 run to put it out of reach at 79-73.
Coppin State, which lost to North Carolina A&T; Saturday, has won 33 of 34 MEAC regular-season games.