The 1963 Alcorn A&M Braves football team represented Alcorn A&M College (now known as Alcorn State University) as a member of the Southwestern Athletic Conference (SWAC) during the 1963 NCAA College Division football season. Led by fourth-year head coach Frank Purnell, the Braves compiled an overall record of 3–7, with a conference record of 0–7, and finished eighth in the SWAC.
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