However, currently, marriage is not opened to same-sex couples yet. According to CNN, his decision specifically deals with "Part A" of the Oklahoma Constitutional amendment that says, in part, "marriage in this state shall consist only of the union of one man and one woman."
But the U.S. District Court Judge Terence Kern clearly shows his position on marriage equality:
"The Court holds that Oklahoma's constitutional amendment limiting marriage to opposite-sex couples violates the Equal Protection Clause of the Fourteenth Amendment of the U.S. Constitution," the judge wrote, saying that protection "is at the very heart of our legal system."
We expect that opponents appeal the Juge's decision. Carl Tobias, a constitutional law professor at the University of Richmond, told CNN that Utah and Oklahoma appeals could be heard together, because they're similar and both in the Tenth Circuit.