Fort Stockton is a city in Pecos County, Texas, United States. The population was 7,846 at the 2000 census. It is the county seat of Pecos County. According to the United States Census Bureau, the city has a total area of 5.1square miles (13Square kilometers), all of it land. As of the census of 2000, there were 7,846people, 2,790households, and 2,106families residing in the city. The population density was 1,531.3people per square mile (591.7Square kilometers). There were 3,189housing units at an average density of 622.4per square mile (240.5Square kilometers).