There are 4 US Post Offices in Bradley County serving a total of 63,394 residents equating to 15,849 residents per post office. It's estimated that approximately 101,184 packages are handled across the 4 county post offices annually. Bradley County is a county located in the U.S. state of Tennessee. As of the 2010 census, the population was 98,963. Its county seat is Cleveland. Bradley County is included in the Cleveland, TN Metropolitan Statistical Area, which is also included in the Chattanooga-Cleveland-Dalton, TN-GA-AL Combined Statistical Area."