Oden didn't play most of the second half. Cincinnati didn't make a field goal over the final 9:44 of the first half, falling behind 42-14 after a 26-2 Buckeye run.
Ivan Harris had 13 points and Ron Lewis 10 for Ohio State (9-1), which meets No. 5 defending national champion Florida next Saturday.
John Williamson led Cincinnati (7-3) with 17 points and Jamual Warren added 13. Cincinnati shot just 18.8 percent from the floor in the first half.