Bridgewater overcame a sluggish first half as they led the Bison by just four points, 28-24, at the break.
BC shot 50 percent from the floor for the game while the Bison made just 31.5 percent of its shots.
The Eagles were led in scoring by senior Ricky Easterling with 15 points, and sophomore Josh Maupin with 12.
Frank Jackson led Gallaudet with 13 points.