No. Gifts are not taxed to the recipient, regardless of amount or whether they are from people in or outside the United States. If you make gifts, you need to check on whether you must pay any gift tax (not income tax) and/or whether you have to file a gift tax return, Form 709.
Return filed by a married person who does not file a joint return. Filing separately may save taxes where each spouse has separate deductions, but certain tax benefits require a joint return.