David Jeune added a team-high eight rebounds for the Ospreys (10-15, 5-7), who have now defeated Kennesaw State eight straight times.
North Florida dominated inside, outscoring Kennesaw State 32-18 in the paint.
The Owls (2-21, 1-10) took a 9-0 lead to open the game but North Florida responded with a 20-3 run to take a 20-12 advantage with 7:39 remaining in the half. The Ospreys maintained the lead the rest of the game.
Markeith Cummings, who is tied with Smith for first in scoring in the A-Sun Conference, matched his season average with 17 points for Kennesaw State. Cummings was the only player in double figures for the Owls, who have now lost eight straight games.
High school junior Zach Brown, a 7-footer from Miami, has rescinded his commitment to UConn, sources told ESPN.
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.