The 1959 BYU Cougars football team was an American football team that represented Brigham Young University (BYU) in the Skyline Conference during the 1959 NCAA University Division football season. In their first season under head coach Tally Stevens, the Cougars compiled an overall record of 3–7 with a mark of 2–5 against conference opponents, tied for fifth place in the Skyline, and were outscored by a total of 169 to 102.