Casey Jones added 13 for the Mocs (6-5), who outshot the Norse 62.8 percent to 49 percent and outrebounded them 25-22.
Anthony Monaco put the Norse on top 20-19 with a free throw, but the Mocs used a 10-1 run to pull ahead to a 54-42 halftime lead. Pryor scored 13 points and Chattanooga shot 72.7 percent in the half to 58.3 percent for the Norse.
The Mocs opened the second half with a 10-3 run and led 78-60 at the midway point. Northern Kentucky gained on a 12-4 run to trail by nine, 86-77, with 1:16 to play, but couldn't catch up.