Below is a list of Cleburne TX zip codes. For your research we have also included Cleburne Area Code, Time Zone, UTC and the local Johnson County FIPS Code. Each Cleburne Texas zip code has a center Longitude / Latitude point (the Cleburne center is -97.406402587891 / 32.353500366211). For your convenience we have also indicated if that zip code in Cleburne observes Daylight Savings time.