Uniontown is a city in Perry County, Alabama, in west-central Alabama. As of the 2020 census, the population of the city is 2,107, up 18.7% ove…Uniontown is a city in Perry County, Alabama, in west-central Alabama. As of the 2020 census, the population of the city is 2,107, up 18.7% over 2010. Of the 573 cities in Alabama, Uniontown is the 207th most populous.