Senior tight end Jake Stoneburner and junior offensive lineman Jack Mewhort were arrested at about 2:30 a.m. by the Shawnee Hills police. No details were immediately available on the misdemeanor counts against the two.
WBNS-TV in Columbus, Ohio, reports that a third man, Austin Barnard, also was charged. He is not affiliated with the Ohio State football program.
The Delaware County Sheriff's Office told the TV station that the three were released after posting $2,000 bond.
Stoneburner, a 22-year-old Dublin, Ohio, native, caught 14 passes last season, seven for touchdowns. Mewhort is from Toledo, Ohio.
Ohio State officials told ESPN.com's Adam Rittenberg that they were aware of the situation and were trying to get more details.
Information from The Associated Press was used in this report.