Are you married to the mother?
Does your child have US Citizenship? If so, then you would be able to claim them for the Child Tax Credit as the non custodial parent.
If not, then you would not be able to claim them as a dependent if the live in Vietnam and you are not married to the mother and filing a joint return with the mother. To be your dependent, the qualifying individual must be a U.S. citizen, U.S. national, U.S. resident...
Claiming a Non-Citizen Spouse and Children on Your Taxes
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