U.S. District Judge Orlando Garcia issued a stay, meaning the ban stays in effect for the time being.
One lesbian couple had to go to Massachusetts to get married, and they want Texas to recognize the union.
A second gay couple have a courtship of 17 years and want to get married here in their home state.
Both sued the state in federal court aiming to overturn the ban on same-sex marriage, saying it is unconstitutional.
