OKLAHOMA CITY—The state of Oklahoma plans no further appeals of a court decision that struck down a 2004 law aimed at same-sex adoptive parents.

Earlier this month, the 10th Circuit Court of Appeals affirmed a lower court’s ruling that a state law barring the issuance of birth certificates to Oklahoma children adopted by out-of-state same-sex couples is unconstitutional.

Tom Cross, the Oklahoma Health Department’s deputy general counsel, said Aug. 16 the agency could not meet the requirements to have the 10th Circuit reconsider its opinion.

The agency does not believe that the U.S. Supreme Court would take up the case, he said.

“We will be issuing birth certificates for all adoptions, whether same-sex or not, for children born in Oklahoma,” Cross said.

Linda Gray Murphy, a lobbyist on gay-rights issues, called the decision a victory.

“When you move to Oklahoma, they can’t segregate out one segment of the population and decide to punish them,” Murphy said.