The 1991 Army Cadets football team was an American football team that represented the United States Military Academy in the 1991 NCAA Division I-A football season. In their first season under head coach Bob Sutton, the Cadets compiled a 4–7 record and were outscored by their opponents by a combined total of 226 to 196. In the annual Army–Navy Game, the Cadets lost to Navy, 24–3.