76033 is zip code located in Cleburne, Texas. The population is 24,303, making 76033 the largest zipcode in Cleburne and the largest in Johnson County.
There are 7 public schools in 76033 with an average Homefacts rating of B-. The total crime rate for Cleburne is moderate , and there are 30 registered sex offenders residing in the zip code 76033. Unemployment in 76033 is moderate.
Zip codes within Cleburne include 76031.