 Claimed national championships 
1958 national championshipThe 1958 LSU Tigers football team under head coach Paul Dietzel, cruised to an undefeated season capped by a win over Clemson in the 1959 Sugar Bowl.LSU was named the national champion in both the AP Poll and the Coaches' Poll prior to their 7-0 Sugar Bowl victory over Clemson.It was the first recognized national championship for LSU in the poll era.