The 2020 Texas Southern Tigers football team represented Texas Southern University a member of the West Division of the Southwestern Athletic Conference (SWAC) during 2020–21 NCAA Division I FCS football season.

Led second-year head coach Clarence McKinney, the Tigers compiled an overall record of 1–2 with an identical mark in conference play, placing fourth teams in the SWAC's West Division.

Texas Southern played home games at BBVA Compass Stadium in Houston.

On July 20, 2020, the SWAC announced that it would not play fall sports due to the COVID-19 pandemic.

Due to the SWAC's postponement of the 2020 football season to spring 2021, games against Houston Baptist, New Mexico State, and Texas–Permian Basin were canceled.