The original home of the club was a 10-story building located on Carnegie Way, and in 1904 a golf course was built on Atlanta's East Lake property.

It built 3 9-hole golf courses in 1967, in a then-unincorporated area of Fulton County that had a Duluth mailing address and would eventually become Johns Creek in 2006.

AAC has hosted many non-golf events including the first two Southeastern Conference men's basketball tournaments in 1933 and 1934.

During the 1990s, AAC hosted the AT&T Challenge, Atlanta's ATP professional tennis stop.

Famous members of AAC include golfers Bobby Jones, Charlie Yates, Alexa Stirling, Watts Gunn, Dot Kirby, and Tommy Barnes; tennis players Nat Thornton and Bitsy Grant; and basketball player Bob Kurland.