Solomon Thomas came up with a fourth-quarter interception that snuffed out the Razorbacks' final drive of the game.
The matchup pitted two of college football's high-profile quarterbacks against one another. Pryor finished 14-of-25 for 221 yards. Arkansas (10-3) quarterback Ryan Mallett was 24-of-47 for 277 yards. Mallett also threw for two touchdowns but was intercepted once.
Thomas picked off Mallett with 58 seconds to play and the Razorbacks deep in Ohio State (12-1) territory. Thomas and Pryor were among five Ohio State players who were sanctioned by the NCAA for selling team memorabilia but allowed to play in the Sugar Bowl.
Pryor ran the ball 15 times for 115 yards.
Arkansas trailed 28-10 at halftime but roared back to outscore the Buckeyes 16-3 in the second half.
UPI horse racing weekend preview
Bo Jackson: I can't help Jameis Winston anymore