Can I claim for a dependent if I'm divorced but we have shared custody? We have two kids so I thought we were allowed to each claim one. I do make child support payments

Many differences apply to how you now do your taxes. Please see our TurboTax articles below for guidance. 

Divorce and Taxes 

How to File Your Taxes: Divorced With Child(ren)

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I'm not a tax expert but I'm in the same situation. My understanding is that in the section where you claim dependents, you only check the box for "amount for eligible dependent" for one child (presumably you have agreed to which one in your agreement). The other parents checks the box for the other child. You can still claim childcare and activity expenses for the kid you're not claiming as a dependent.

There are other ways families manage this, such as alternating years, but this is how I understood you want to do it. Hope this helps other separated and divorced parents!