The 1979 Arkansas Razorbacks football team represented the University of Arkansas in the Southwest Conference (SWC) during the 1979 NCAA Division I-A football season. In their third year under head coach Lou Holtz, the Razorbacks compiled a 10–2 record (7–1 against SWC opponents), finished in a tie with Houston for the SWC championship, and outscored their opponents by a combined total of 284 to 132. The Razorbacks' only regular season loss was to Houston by a 13–10 score. The team advanced to the 1980 Sugar Bowl, losing to undefeated national champion Alabama by a 24–9 score. Arkansas was ranked #8 in the final AP Poll and #9 in the final UPI Coaches Poll.