A member of the "Ole Miss" Athletic Hall of Fame, he was a linebacker of the University of Mississippi who came to the American Football League's New York Titans in the 1960 college draft and helped form the backbone of a New York Jets defense that reached the playoffs in 1968 and 1969, and in 1968 captured the AFL Championship and the World Championship, over the NFL's Baltimore Colts. Thus Grantham's team, with him as a starter throughout, went from being the worst team in an upstart league (the AFL) to World Champions in just nine years.