Elliott was cited for driving under suspension, driving without a license and failure to control his car after he was involved in a crash at 1:30 p.m. Sunday in Columbus, Ohio.
Police said Elliott told them he hit a puddle and slid before colliding with another vehicle that was carrying two people. One of those people suffered a minor injury.
Elliott was not injured. A court date has been set for Jan. 26.
He was previously cited by Columbus police for driving 57 mph in a 35 mph zone in June 2014. The case was dismissed in October 2014 upon completion of a diversion program and payment of $129 in court costs.
No. 7 Ohio State plays No. 8 Notre Dame on Friday in the Fiesta Bowl in Glendale, Arizona. An Ohio State spokesman told ESPN that there is no change to Elliott's status for the game.
The Associated Press contributed to this report.