Six states are refusing to process benefits for married, same-sex military couples, despite a recent order from Secretary of Defense Chuck Hagel.
The states say the Pentagon order conflicts with their state laws.
Gov. Mary Fallin, R-Okla., said the decision "protects the integrity of our state Constitution and sends a message to the federal government that they cannot simply ignore our laws or the will of the people."
The Pentagon has not said what steps they will take with states that don't comply with the order.
Texas, Georgia, Louisiana, West Virginia, and Mississippi joined Oklahoma in refusing to give the benefits to the couples.
The same-sex couples can go to federal bases throughout the state to apply for the benefits.