Jackson, who committed four early turnovers, finished with 19 points, including 11 in the first half. His jumper with just under seven minutes to go in gave the Buckeyes (2-0) their largest lead of the first half at 31-16.
The Buckeyes led by 21 with less than three minutes to go when the Highlanders went on a 13-1 run to make the score respectable.
The second half was all Ohio State. Jackson scored nine points as the Buckeyes opened up a 25-point lead at 63-38. The Highlanders were able to cut the deficit to 19 at 63-44 on a Carlik Jones free throw, but the Buckeyes went back up by 24 when Kam Williams sank a 3-pointer with under eight minutes to go.
For the second straight game, Keita Bates-Diop had a solid game and led the Buckeyes with 22 points in addition to grabbing 10 rebounds.
Bates-Diop, who played in only nine games last season scored 19 points and had 11 rebounds in the Buckeyes' opening win against Robert Morris on Friday.
Jae-Sean Tate and Micah Potter controlled the paint for Ohio State, with Tate recording a double-double with 13 points and 10 rebounds. Potter added eight points and seen boards.
Ohio State outrebounded Radford, 45-33. The Buckeyes held a 16-8 advantage on the offensive boards.
Jones led the Highlanders (1-1) with 19 points. Randy Phillips and Donald Hicks each scored 11 points for Radford.