You cannot get the child tax credit for children who do not have Social Security numbers. If your children have an ITIN, you could get the $500 credit for other dependents---a non-refundable credit that can lower your tax due. If they do not have an ITIN, then there is no point in listing them on your tax return. You do not get any tax benefit from listing children with no ITIN or SSN on a tax return.
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