Kleberg ( KLAY-burg) is an area in southeast Dallas, Texas, United States that was formerly an unincorporated community in Dallas County.
In 1956 Kleberg incorporated as a city. By 1970 4,510 people lived in Kleberg and three businesses resided in Kleberg. By 1978 Kleberg was the largest town in Texas with no property tax. On April 3, 1978 the city ceased to exist and the land became part of the City of Dallas.
Parks and recreation
The Kleberg-Rylie Community Center, operated by Dallas Parks, serves the community.