The John B. Connally Unit is a maximum-security prison for males located in unincorporated Karnes County, Texas, United States. It is located on Farm to Market Road 632, just east of U.S. Highway 181 2 miles south of the city of Kenedy, and southeast of San Antonio. The prison, with about 813 acres of space, is operated by the Correctional Institutions Division of the Texas Department of Criminal Justice, administered as within Region IV.