Wyoming was champion of the Western Athletic Conference (WAC) and bowl eligible for the first time since 1968. Oklahoma was champion of the Big Eight Conference for the fifth straight year. This was the first Fiesta Bowl appearance for both teams.
Elvis Peacock started the beating with a touchdown run early in the game and Horace Ivory added in his touchdown run to make it 14-0 by the time of the 1st quarter. Two Von Schamann field goals made it 20-0 at halftime as Oklahoma scored twice more in the second half on Peacock, George Cumby and Woodie Shephard touchdowns. Not wanting to be shut out, Latrail Jones scored on a touchdown run to make the final score 41-7 with :24 remaining. This set a new record for biggest margin of victory that would not be broken until 1996.
Oklahoma would return to the Firsta Bowl in 1983. Wyoming has not returned to the Fiesta Bowl since this game.