Antón District Antón is a district of Coclé Province in Panama. The population according to the 2000 census was 44,039. The district covers a total area of 749 km2. The capital lies at the city of Antón.Administrative divisionsAntón District is divided administratively into the following corregimientos:Antón CabuyaEl ChirúEl RetiroEl ValleJuan DíazRío HatoSan Juan de Dios Santa RitaCaballeroEconomySome of the district's primary economic activities include fishing, sugarcane production, and tourism.