The 1960 Memphis State Tigers football team represented Memphis State College (now known as the University of Memphis) as an independent during the 1960 NCAA University Division football season. In its first year of competition in the University Division and its third season under head coach Billy J. Murphy, the team compiled an 8–2 record and outscored opponents by a total of 303 to 85. Wayne Armstrong and Miller Matthews were the team captains. The team played its home games at Crump Stadium in Memphis, Tennessee.