Branford Center is a neighborhood and census-designated place (CDP) in the town of Branford, Connecticut, United States. The CDP encompasses the traditional town center area (roughly the area bounded by U.S. Route 1, the Amtrak railroad tracks, and the ) and the area known as Branford Point (the portion of the CDP south of the railroad tracks). The population of the CDP (including Branford Point) was 5,819 at the 2010 census.