The 1968 Texas Southern Tigers football team was an American football team that represented Texas Southern University as a member of the Southwestern Athletic Conference (SWAC) during the 1968 NAIA football season. Led by fourth-year head coach Clifford Paul, the Tigers compiled an overall record of 6âÂÂ4, with a mark of 6âÂÂ1 in conference play, and finished as SWAC co-champion.