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This is assuming that the child physically lives with you.

Custodial Parent

These are a paraphrase of the IRS rules for divorced or separated parents that live apart.

[Note: Unless the parents have been separated at all times during the last 6 months of the year, these rules do not apply.]

See “Children of divorced or separated parents or parents who live apart” in IRS Pub 17 for full information.

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This assumes that the child is under age 18 (in most states).  Once the child becomes an adult (Emancipated child), custody becomes mute and these rules no longer apply.(See examples 5 & 6 in Pub 17 for more information)

There is no such thing in the Federal tax law as 50/50, split, or joint custody.  The IRS only recognizes physical custody (which parent the child lived with the greater part, but over half, of the tax year.  That parent is the custodial parent; the other parent is the noncustodial parent.)

Who can claim the exemption and credits depends on who is the custodial parent. (By the IRS definition of custodial parent for tax purposes - this is not the same as the legal custody that a court might grant.).

The test that the IRS uses to determine the custodial parent is where the child lived for more than 1/2 (or greater part) of the year. The IRS will go so far as to require counting the nights spend in each household - that person is the custodial parent for tax purposes (if exactly equal and more than 183 days - The custodial parent is the parent with the highest AGI, if less than 183 days then neither parent has custody so the child cannot be claimed by either parent). And yes they are that picky.

See Custodial parent and noncustodial parent  under the residency test in Pub 17

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Only the Custodial parent can claim: (Child would be listed as non-dependent EIC & CC only)
-Head of Household
-Earned Income Credit
-Child Care Credit

The non custodial parent can only claim: (Child would be listed as dependent)
-The Exemption
-The Child Tax Credit

But only if specifically specified in a pre-2009 divorce decree, separation agreement or the custodial spouse releases the exemption with a signed 8332 form - after 2009 the IRS only accepts a signed 8332 form that must be attached to the non-custodial parents tax return.

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When you enter the dependent into TurboTax, you say that he/she is "Your child" (not you and your spouse if remarried),
he/she lived with you the whole year,
“no” the child did not pay more than half of his/her own support,
"yes", you have a custody agreement,
and "yes", the other parent is claiming this year.  

That will give you the EIC,  Child Care Credit and Head of Household filing status if you otherwise qualify.

The child would be listed as "non-dependent EIC & Dependent Care only".

The other (non-custodial) parent can claim the child’s exemption and child tax credit only and needs a signed 8332 form from you to do so.

**Disclaimer: This post is for discussion purposes only and is NOT tax advice. The author takes no responsibility for the accuracy of any information in this post.**