Athlitiki Enosi Kouklia, also known as AE Kouklion Footall Club and AEK Kouklia, was first established in 1968 by a group of young people from the village of Kouklia. The team have historically been a lower league side, but have risen to greater stature in recent times, completing a dramatic climb through the Cypriot league system. Their traditional colours are yellow and black.
Initially, the club was unable to gain affilitation with the Cypriot Football Association and so competed exclusively in friendly matches. In 1971, a football federation was established for teams in the Paphos province and the team have been playing competitive football ever since
Since the turn of the 21st century, the team have been able to progress through the country's football pyramid, starting with a league title and subsequent promotion from the regional fifth tier in 2006. AE Kouklion were able to follow that success with another league title in 2008, earning the club promotion to the third tier, where they remained for several years. Then, in 2011-12, the side were crowned as champions of that division and climbed up to the Second Division. The 2012-13 season brought about the team's greatest ever success, as they finished in 2nd place and gained promotion to the top flight, completing their ascent through the leagues.
Fangio Buyse is one of the most notable figures to be associated with the club. Buyse took over as player-manager of AE Kouklion in 2012 and was able to guide them to the First Division in his first season in the role.
As a result of moving up to the top tier, the team now play their home matches at Pafiako Stadium, which opened in 1985. The venue, which also serves as the home of the country's national rugby union team, underwent renovations in 2003 and is able to hold up to 9,394 spectators.