Farad Cobb had 12 points for the Mocs (11-16, 6-7 Southern Conference), who have won three of their past four after four-game losing streak.
Colin Reddick and Stephen Croone scored 12 points each, with Croone grabbing nine rebounds, and Bryant Irwin had 10 points for the Paladins (6-18, 3-10), who have lost four in a row, six of their past seven and are 1-11 on the road.
Chattanooga shot 34 of 77 from the field, while Furman was 19 of 51.
Chattanooga led 15-7 on Martynas Bareika's jumper with 13:03 left on the way to a 39-27 advantage at halftime.
The Mocs pushed their lead to 48-30 only 2:04 into the second half and pulled away for the easy victory.
Reserve center Akolda Manyang has been charged with felony aggravated assault after being accused of punching a man in the face without provocation.
Should the 76ers take Ben Simmons No. 1? What if they get the Lakers' pick, too? And how does the rest of the top 10 shake out? Our Insiders run their latest mock draft, with Philly on the clock.