T.J. Hall and Walter Offutt contributed 12 points apiece, and D.J. Cooper had 10 points and eight assists for the Bobcats (17-6, 8-1), who improved to 13-1 at home.
Ohio is 8-1 in the Mid-American Conference for the first time since the 1984-85 season and has won nine of its past 10 games.
A’uston Calhoun had 19 points and eight rebounds for the Falcons (9-14, 4-6). Jordan Crawford scored 17 points and Craig Sealey added eight points and 12 rebounds.
Ohio led 35-34 at halftime and jumped to a 48-37 advantage on a steal and layup by Hall.
The Bobcats expanded the lead to 71-55 on Cooper’s free throw with 2:21 remaining.