Yes. The Child Tax Credit can only be claimed by the parent claiming the exemption. In this case the noncustodial parent would qualify for the dependency exemption and therefore the child tax credit. Please refer to the Form 1040 Instructions or the Form 1040A Instructions index for Child Tax Credit. The referenced pages will explain who qualifies for this credit, and how to calculate it.

References:

• Form 1040 Instructions
• Form 1040A Instructions
• Publication 17, Your Federal Income Tax
• Publication 972, Child Tax Credit
• Tax Topic 606, Child Tax Credit

Source: www.irs.gov