The 1960 New Mexico State Aggies football team represented New Mexico State University in the Border Conference during the 1960 NCAA University Division football season. The Aggies, led by third-year head coach Warren B. Woodson, played their home games at Memorial Stadium. They finished the season with a record of 11–0 and 4–0 in conference play. Until the 2017 school year, this was the most recent New Mexico State team to play in a bowl game. Head coach Warren B. Woodson was later inducted into the College Football Hall of Fame.