Cuenca, officially the Municipality of Cuenca, is a municipality in the province of Batangas, Philippines. According to the 2020 census, it h…Cuenca, officially the Municipality of Cuenca, is a municipality in the province of Batangas, Philippines. According to the 2020 census, it has a population of 36,235 people. Once a part of San Jose, it became an independent town under the name "Cuenca" on either November 7, 1876 or April 7, 1877, after the Spanish hometown of the then-Governor of Batangas that resembles its cold breeze and beautiful scenic spots. Its main tourist attraction is the 700-meter-high mountain, Mount Macolod.