"To allow a more reasoned consideration of the motion to stay, it is ordered that the District Court's judgment is temporarily stayed until Wednesday," The Detroit News reported yesterday, citing the federal court order.
On Friday, a federal judge in the midwestern state struck down a gay-marriage ban and found there was no "credible" evidence that heterosexual couples make better parents.
That decision was the latest in a number of court rulings to find gay-marriage bans unconstitutional.
Michigan's Republican Attorney General Bill Schuette then immediately filed an appeal.
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The rulings follow a landmark Supreme Court decision in June finding that couples in same-sex marriages were entitled to the same benefits and protections as their heterosexual counterparts.
Marriage laws are governed by individual US states, nearly 30 of which have amended their constitutions to ban same-sex marriage.