"It would be unethical for me to file an appeal that would have no chance of success," he said.
Alaska's gay marriage ban was one of several struck down by the 9th Circuit Court of Appeals earlier this week, but a federal judge also issued an order last week barring the state from enforcing its same-sex marriage ban last week. Alaska's ban was approved by voters in 1998.
While most state offices were closed Friday in observance of Alaska Day, couples could begin to marry as early as Monday, according to the Alaska Dispatch.
"I think this was a decision that should be made by the voters and not the judges," he said. "But the judges ruled against us."
Proposition 102, which legally defined marriage as a union between one man and one woman in Arizona, passed in 2008 with the support of 56% of state voters.
Sedwick's ruling marked the second time this week a federal judge struck down a measure that had previously gained approval from Arizona voters. The 9th Circuit Court of Appeals struck down Arizona's Proposition 100, which denied bail to people who are in the country illegally when they are charged with serious felonies. That measure had passed in 2006 with the support of nearly 80% of Arizona's voters.
In his relatively short opinion, Sedwick heavily cited the 9th Circuit's decision, saying when the case was brought to the court, the law was not clear, but now it is.