It depends on which country you are from and your children's status. If your dependents are not US Citizens, US nationals or US Resident Aliens then no.
"A non-resident alien can claim the Other Dependent Credit if the dependent meets the criteria to be claimed for the credit. In order to meet this, the dependent must be a US Citizen, US National or US Resident Alien.....Only nonresident aliens who are U.S. nationals; residents of Canada, Mexico, or South Korea; or students and business apprentices from India who qualify for benefits under Article 21(2) of the income tax treaty with India can claim the credit for other dependents." US Tax Guide for Aliens pg 44
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