The 1971 Grambling Tigers football team represented Grambling College (now known as Grambling State University) as a member of the Southwestern Athletic Conference (SWAC) during the 1971 NCAA College Division football season. Led by 29th-year head coach Eddie Robinson, the Tigers compiled an overall record of 9–2 and a mark of 5–1 in conference play, and finished as SWAC co-champion.

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