There are 3 US Post Offices in Liberty County serving a total of 8,364 residents equating to 2,788 residents per post office. It's estimated that approximately 13,350 packages are handled across the 3 county post offices annually. Liberty County is a county located in the state of Florida. As of the 2010 census, the population was 8,365, making it the least populous county in Florida. Its county seat and only city is Bristol. The Apalachicola National Forest occupies half the county."