Athletic played in the original incarnation of the Kent League from their formation until the collapse of the league in 1959. This was the club's best period for nearly 50 years, with two consecutive league titles, several county cups, and a run to the first round of the FA Cup. With the collapse of the Kent League the Rams migrated to the Southern League, where they initially did well but were forced to resign and drop down to the re-formed Kent League in 1976.