There are 5 US Post Offices in Campbell County serving a total of 38,574 residents equating to 7,715 residents per post office. It's estimated that approximately 61,568 packages are handled across the 5 county post offices annually. Campbell County is a county located in the U.S. state of Tennessee. As of the 2010 census, the population was 40,716. Its county seat is Jacksboro. Campbell County is included in the Knoxville, TN Metropolitan Statistical Area."