Greensboro is a city in Hale County, Alabama, United States. At the 2010 census the population was 2,497, down from 2,731 at the 2000 cens…Greensboro is a city in Hale County, Alabama, United States. At the 2010 census the population was 2,497, down from 2,731 at the 2000 census. The city is the county seat of Hale County, Alabama, which was not organized until 1867. It is part of the Tuscaloosa, Alabama Metropolitan Statistical Area.