The 1962 Grambling Tigers football team represented Grambling College (now known as Grambling State University) as a member of the Southwestern Athletic Conference (SWAC) during the 1962 NCAA College Division football season. Led by 20th-year head coach Eddie Robinson, the Tigers compiled an overall record of 6âÂÂ2âÂÂ2 and a mark of 3âÂÂ2âÂÂ2 in conference play, and finished third in the SWAC.