The 1962 Arkansas Razorbacks football team represented the University of Arkansas in the Southwest Conference (SWC) during the 1962 NCAA University Division football season. In their fifth year under head coach Frank Broyles, the Razorbacks compiled a 9–2 record (6–1 against SWC opponents), finished in second place in the SWC, and outscored all opponents by a combined total of 299 to 115. The Razorbacks' only loss during the regular season came against Texas by a 7–3 score. The team was ranked #6 in both the final AP Poll and the final UPI Coaches Poll and went on to lose to Ole Miss in the 1963 Sugar Bowl by a 17–13 score.