The case involves a woman who is not pregnant and has not recently travelled anywhere that Zika is spreading, according to the Texas Department of State Health Services.
The case is considered "likely" a result of local transmission, until officials find evidence of mosquitoes carrying the disease.
The woman was "was confirmed last week by lab test to have been infected," said the statement.
"She reported no recent travel to Mexico or anywhere else with ongoing Zika virus transmission and no other risk factors."
"We knew it was only a matter of time before we saw a Zika case spread by a mosquito in Texas," said John Hellerstedt, Department of State Health Services commissioner.
"We still don't believe the virus will become widespread in Texas, but there could be more cases, so people need to protect themselves from mosquito bites, especially in parts of the state that stay relatively warm in the fall and winter."
Florida was the first state to report the local spread of Zika, and has reported 238 such cases as of last week, as part of more than 1,200 infections statewide so far this year.
A series of brain and skull malformations are associated with Zika, including a condition called microcephaly, in which babies are born with unusually small heads.
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