It is part of the Fort Smith, Arkansas-Oklahoma Metropolitan Statistical Area.

According to the 2018 US Census Bureau estimates, Central City had a population of 497.

[4] According to the United States Census Bureau, the town has a total area of 5.6 km2 (2.2 sq mi), all land.

21.8% of all households were made up of individuals, and 7.4% had someone living alone who was 65 years of age or older.

Lavaca School District is an accredited public school district that encompasses 58.77 square miles (152.2 km2) of land[citation needed] including Lavaca and Central City,[8] and provides early childhood, elementary and secondary education to students leading to graduation from Lavaca High School.