Guard Jim Barnes was a consensus All-American for the Razorbacks in 1968. Bill Burnett's 16 touchdowns scored tied him for eighth-most points scored nationally. The Hogs lost only once, to the #17 Texas Longhorns, 39–29. The Razorbacks and Longhorns thustly shared the Southwest Conference crown for 1968, but it was Texas who received the bid to the 1969 Cotton Bowl Classic.
Georgia's number-one ranked defense matched up against Arkansas ninth-ranked offense on New Year's Day in New Orleans.
Quarterback Bill Montgomery threw a 27-yard touchdown pass to Chuck Dicus as Arkansas opened a 7–0 lead in the second quarter. Georgia got a safety to pull within 7–2. Arkansas got a 34-yard field goal from Bob White to lead 10–2 at halftime. After a scoreless third quarter, White kicked field goals of 24 and 31 yards in the fourth quarter to seal the Arkansas win 16–2.