The 1966 Army Cadets football team represented the United States Military Academy in the 1966 college football season. In their first year under head coach Tom Cahill, the Cadets compiled an 8–2 record and outscored their opponents by a combined total of 141 to 105. In the annual Army–Navy Game, the Cadets defeated the Midshipmen by a 20 to 7 score. The Cadets lost only to Notre Dame by a 35 to 0 score and to Tennessee by a 38 to 7 score. Army linebacker Townsend Clarke was selected by the Central Press Association as a first-team player on the 1966 College Football All-America Team.