It runs an annual national championship, and has hosted a number of international competitions.

On April 8, 1989 the first Pancyprian Archery Tournament was held at Lapatsa Sporting Club using training bows at a distance of 30 m. One year later CAF held the international Tournament Theofanideia in memory of Stelios Theofanides, a major figure in Cypriot archery.

Subsequently Theofanideia become an annual event that CAF holds every year at an international level archery tournament.

In 2007 the European Junior Championship was held in Limassol with the participation of 191 athletes from 18 countries.

In addition to its activities at the competitive level, it supports training in coaching, judging and technical equipment setup.