The 1931 Army Cadets football team represented the United States Military Academy in the 1931 college football season. In their second season under head coach Ralph Sasse, the Cadets compiled an 8–2–1 record, shut out four of their eleven opponents, and outscored all opponents by a combined total of 296 to 72. In the annual Army–Navy Game, the Cadets defeated the Midshipmen by a 17 to 7 score. End Robert Sheridan broke his neck making a tackle in a 6 to 6 tie with Yale. The Cadets also defeated Notre Dame, 12 to 0. The team's only losses were to Harvard by a 7 to 6 score and to Pittsburgh by a 26 to 0 score.