Delmita is an unincorporated community in Starr County, Texas, United States. Its elevation is 272 feet (83 m). Although Delmita is unincorporated, it has a post office, with the ZIP code of 78536. Originally founded as Zaragosa in 1919, the community's name was changed to Delmita on 1931-04-01 due to confusion with the Reeves County community of Saragosa. The community's first post office was established soon after the community itself was, but a new post office was constructed in 1991. Delmita's importance has fallen through the years; in 1940, it was the most important community in the northeastern part of the county, but it has since been overshadowed by San Isidro.