If your spouse is a green card holder, he or she can petition for you. If that petition is approved, your eligibility to apply for a green card varies with your physical location, your status in the U.S. (if you are here), and on whether your spouse is a green card holder or a citizen of the U.S. Please note that this applies to same-sex couples. Also, under some circumstances, U.S. citizens can apply for fiancées residing abroad, and when those petitions are approved, the fiancée comes to the U.S. to apply for a green card after the couple marriages.