Are you the custodial parent? Do you have an agreement with the other parent to allow the other parent to claim them--due to divorce or that you live apart and share custody? Did one of you sign a Form 8332?
If there is a signed 8332 then the custodial parent retains the right to file as Head of Household, get earned income credit and the childcare credit
As far as the IRS is concerned, the custodial parent is the one with whom the child spent the most nights during the tax year--at least 183 nights.
If you are a non-married couple who live together then only one of you can claim the child(ren) and the one not claiming the child does not enter anything at all on their tax return about the child.
If you can't claim your child as a dependent, he or she is treated as your qualifying person for this credit if:
Here's how to enter this information:
1) When logged into TurboTax Online, click Deductions & Credits.
2) Click You and Your Family.
3) Click Review/Edit next to Child and Dependent Care Credit.