It states in this IRS publication "Children usually are citizens or residents of the same country as their parents. If you were a U.S. citizen when your child was born, your child generally is a U.S. citizen. This is true even if the child's other parent is a nonresident alien, the child was born in a foreign country, and the child lives abroad with the other parent".
So if you were a resident alien or citizen at the time they were born, you will be able to claim them.
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