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 7,855 at the 2010 census. By population, it is the smallest state capital in the United States. The Vermont History Museum, Vermont College of Fine Arts, and New England Culinary Institute are located in Montpelier.