Mooresburg is a census-designated place and unincorporated community in Hawkins County, Tennessee, United States. Its population was 941 as of the 2010 census. Mooresburg has a post office with ZIP code 37811, which opened on March 4, 1814. It lies along U.S. Route 11W between Rogersville and Bean Station.Mooresburg was named for Major Hugh Moore, whose family settled in the area around 1800.