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. Woodbury was founded in 1673.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. The public buildings in the National Register Historic District include the First Congregational Church, the Old Town Hall, the United Methodist Church, the St. Paul's Episcopal Church, and the North Congregational Church.The most notable of the public buildings is the Masonic Temple. It is a modest, clapboard, Greek Revival temple, notable less for its architecture than for its dramatic location, situated atop a high cliff accessed by a long flight of steps.