The 1958 Sugar Bowl featured the seventh-ranked Ole Miss Rebels and the eleventh-ranked Texas Longhorns.
In the first quarter, Ole Miss quarterback Raymond Brown scored on a 1-yard touchdown run as the Rebels took a 6–0 lead.
In the second quarter, Brown threw a 3-yard touchdown pass to Don Williams as Ole Miss led 13–0.
In the third quarter, Bobby Franklin scored on a 3-yard run as Ole Miss led 26–0.
Billy Brewer's 12-yard touchdown pass to Tommy Taylor made the final score 39–7.