The 1985 Grambling State Tigers football team represented Grambling State University as a member of the Southwestern Athletic Conference (SWAC) during the 1985 NCAA Division I-AA football season. Led by 43rd-year head coach Eddie Robinson, the Tigers compiled an overall record of 9–3 and a mark of 6–1 in conference play, and finished as SWAC co-champion. Grambling State advanced to the NCAA Division I-AA Football Championship playoffs, where they were defeated by Arkansas State in the first round.
The Tigers' 27–7 victory over Prairie View A&M was the 324th all-time victory for Robinson, and placed him ahead of Bear Bryant for the most career victories for a college football coach.