The 1962 BYU Cougars football team represented Brigham Young University (BYU) as a member of the Western Athletic Conference (WAC) during the 1962 NCAA University Division football season. In their second season under head coach Hal Mitchell, the Cougars compiled an overall record of 4–6 with a mark of 2–2 against conference opponents, tied for second place in the WAC, and outscored opponents by a combined total of 197 to 170.