As of the census of 2000, there were 2,556 people, 854 households, and 651families residing in the city. The population density was 1,458.1people per square mile (563.9Square kilometers). There were 1,002 housing units at an average density of 571.6per square mile (221.1Square kilometers). Stanton is a city in and the county seat of Martin County, Texas, United States. The population was 2,556 at the 2000 census. According to the United States Census Bureau, the city has a total area of 1.8square miles (4.7Square kilometers), of which, 1.8square miles (4.7Square kilometers) of it is land and 0.56% is water.