The rugby team is one of the most successful in the province, having won the Torneo 17 times, the last in 2023.

The exact date of the club's creation is unknown but is thought to be either 17 April or 15 November 1882.

As the only club in the province for a long time, CAC had to travel down to Rosario for competition.

There, CAC would often compete with that city's oldest club Atlético del Rosario.

Although one of the most successful in the province, Córdoba Athletic as so far failed to make any impact on the national scene, unlike fellow Córdoba clubs such as Tala and La Tablada, which have both reached the Nacional de Clubes final.