The 1978 Alcorn State Braves football team represented Alcorn State University as a member of the Southwestern Athletic Conference (SWAC) during the 1978 NCAA Division I-AA football season. Led by 15th-year head coach Marino Casem, the Braves compiled an overall record of 5–4–1, with a conference record of 2–3–1, and finished fourth in the SWAC.
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