There are 2 US Post Offices in Kleberg County serving a total of 32,048 residents equating to 16,024 residents per post office. It's estimated that approximately 51,152 packages are handled across the 2 county post offices annually. Not to be confused with Kleberg, Texas. Kleberg County is a county located in the U.S. state of Texas. As of the 2010 census, its population was 32,061. The county seat is Kingsville. The county was organized in 1913 and is named for Robert J. Kleberg, an early settler. Kleberg County is included in the Kingsville, TX Micropolitan Statistical Area, which is also included in the Corpus Christi-Kingsville-Alice, TX Combined Statistical Area. Most of the county's land lies within the famed King Ranch, which also extends into neighboring counties. Kleberg County is represented in the Texas House of Representatives by the Republican J. M. Lozano, a restaurateur in Kingsville and in Alice, Texas."