Kleberg County Court Post date June 17, 2019 Flag Listing Category County Court, Kingsville, Kleberg Website Address http://www.co.kleberg.tx.us/page/kleberg.County.Judge Phone Number 361-595-8585 Address P. O. Box 752 Kingsville, Texas 78364 Judge Madrid, Rudy ← Kerr County Court → Motley County Court