Yes you may claim child tax credit as long as you have a qualifying child. If your unemployment had no federal tax withheld and was a significant amount, you may owe some tax on it. The child tax credit of $1,000 per qualifying child will help to offset the tax owed to 0. Go to http://www.irs.gov and look up Form 8812. If any part of your child tax credit is unused to offset tax....some of the remaining credit may be refundable to you.