Can I join the United Sates Army if I have a green card?

Even a conditional green card( 2 years) are allowed to join.I already talk to a recruiter(Navy) and already took my ASVAB.The only problem that you might encounter is if your spouse doesn't want to give some important documents that you need like your spouse birth certificate,marriage contract and social security card.That is my problem my wife won't give those things to me.I am not sure if they will allow you to enlist without dependent even though you are married.Good luck.