If he is a US citizen, domiciled in the US, he cannot legally have more than one wife. If there are other pertinent facts to the scenario you've mentioned above, then the answer will depend upon those other facts.
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What is his status in this country? Can you prove that he has remarried as opposed to someone living with another as husband and wife? In New York...
§ 255.15 Bigamy.
A person is guilty of bigamy when he contracts or purports to contract
a marriage with another person at a time when he has a living spouse, or
the other person has a living spouse.
Bigamy is a class E felony.
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