Woodbury is a town in Litchfield County, Connecticut, United States. The population was 9,975 at the 2010 census. The town center is also designated by the U.S. Census Bureau as a census-designated place (CDP). Woodbury was founded in 1672. The center of Woodbury is distinctive because, unlike many New England towns, it is not nucleated. In Woodbury, the older buildings are arrayed in linear fashion along both sides of a road that stretches for over a mile.