Thompson converted 9 of 11 free throws while Andrews was effective from long range, connecting on 4 of 9 from beyond the arc.
Howard (8-19, 5-9 in the Mid-Eastern Atlantic Conference) scored the game's first six points but Coppin State rallied to take its first lead of the game, 19-18, with 7:03 left in the first half.
However, Howard closed the half on a 12-1 run to take a 30-20 lead into halftime.
The Bison led throughout the second half, shooting 12 of 24 from the field during the period and making 13 free throws.
Coppin State (13-13, 8-5) outrebounded the Bison 41-33 but Howard's bench contributed 42 points, compared to just 20 for the Eagles.
Antonio Williams led Coppin State with 21.
- Coppin State
- Glenn Andrews