Yes, but it can be applied differently. If you claim the foreign income exclusion, you will not be able to claim the refundable portion of the child tax credit while living abroad. This means the child tax credit by itself will not lead to a refund on your return.
However, when you are living abroad the nonrefundable portion of the child tax credit would still be available to lower the tax you owe on your U.S. federal tax return. The rules around the child tax credit afford you the ability to claim up to a $1,000 credit per qualifying child.
If the foreign income exclusion is not claimed, and for instance you claim the foreign tax credit instead, then the child tax credit may still lead to a refund.
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