Freeport is a city in Brazoria County, Texas, United States, located on the Gulf of Mexico, founded in 1912. According to the 2020 census, the c…Freeport is a city in Brazoria County, Texas, United States, located on the Gulf of Mexico, founded in 1912. According to the 2020 census, the city population was 10,696, down from 12,049 in 2010, where Hispanic or Latino were 52% of the population.