The 1940 Southwest Texas State Bobcats football team was an American football team that represented Southwest Texas State Teachers College (now known as Texas State University) during the 1940 college football season as a member of the Lone Star Conference (LSC). In their sixth year under head coach Joe Bailey Cheaney, the team compiled an overall record of 3–5–1 with a mark of 0–4 in conference play.

Southwest Texas was ranked at No. 187 (out of 697 college football teams) in the final rankings under the Litkenhous Difference by Score system for 1940.

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