1942 Paul Brown AP 9–1 6–1 – 1954 Woody Hayes AP 10–0 7–0 Won Rose Bowl 1957 Woody Hayes FWAA , UPI 9–1 7–0 Won Rose Bowl 1961 Woody Hayes FWAA 8–0–1 6–0 – 1968 Woody Hayes AP, FWAA, NFF , UPI 10–0 7–0 Won Rose Bowl 1970 Woody Hayes NFF 9–1