迪亞茲將軍

The club was founded on September 22, 1917.

In 2004, the club finished as runner-up of the Tercera División, but only one club was available for promotion at that time. In 2006, they were runner-up again, but this time they were able to be promoted to the Segunda Division (Intermedia). In 2012, they were the champions of the Division Intermedia, and were promoted to the Primera Division for the first time in the club's history.

In 2013, the club qualified for its first ever continental tournament, the Copa Sudamericana, through their placement in the aggregate table (Apertura & Clausura combined). They did this in their first season in the top tier, being one of the only two Paraguayan clubs to achieve this along with Deportivo Capiatá. In the 2014 Copa Sudamericana, they played C.D. Cobresal of Chile first, and won 4-3 on aggregate (2-1, 2-2). Then they played Colombian powerhouse Atlético Nacional, where they produced a massive upset by winning the first leg at the Estadio Atanasio Girardot in Medellín 2-0, but lost the second leg in Luque 1-3. Although the aggregate score was 3-3, Atletico Nacional advanced because of the away goals rule.

In 2017, the club finished sixth in the aggregate league table, meaning it qualified for the 2018 Copa Sudamericana, their second time participating in the competition. They began their campaign by playing against Ecuadorian powerhouse Barcelona S.C., beating them 2-1 on aggregate. Then they faced Colombian side Millonarios F.C., where they drew the first leg 1-1 at Estadio Defensores del Chaco in Asunción. They played there because their regular stadium was too small for continental competition games. General Díaz lost the second leg 4-0 at Estadio El Campín in Bogotá, and were knocked out of the tournament with an aggregate score of 1-5.