University Health is the public hospital district for the San Antonio, Texas, US metropolitan area. Owned and operated by Bexar County, it is the third largest public health system in Texas. The system operates University Hospital, a 716-bed teaching hospital located in the South Texas Medical Center, and over 25 outpatient specialty and family medicine clinics t…University Health is the public hospital district for the San Antonio, Texas, US metropolitan area. Owned and operated by Bexar County, it is the third largest public health system in Texas. The system operates University Hospital, a 716-bed teaching hospital located in the South Texas Medical Center, and over 25 outpatient specialty and family medicine clinics throughout the San Antonio area.