Montpelier is a city in the U.S. state of Vermont that serves as the state capital and the shire town (county seat) of Washington County. As the capital of Vermont, Montpelier is the site of the Vermont State House, seat of the legislative branch of Vermont government. The population was 8,035 at the 2000 census. A 2009 estimate was 7,705. By population, it is the smallest state capital in the United States. The Vermont History Museum and Vermont College of Fine Arts are located in Montpelier.