The 1940 Army Cadets football team represented the United States Military Academy in the 1940 college football season. In their third and final year under head coach William H. Wood, the Cadets compiled a 1–7–1 record and were outscored their opponents by a combined total of 197 to 54. The season was the first since 1899 in which the Army football team was outscored by its opponents. In the annual Army–Navy Game, the Cadets lost to the Midshipmen by a 14 to 0 score. The Cadets also suffered blowout defeats to Cornell (45-0) and Penn (48-0).