Going forward---
If you are a non-married couple who live together with your children, 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. The “sharing” of child-related credits you may have heard about is only possible between divorced or never married parents who live apart and share custody and who have a written agreement to share the credits. The child’s SSN can only be entered on one tax return. Any other return with the child’s SSN on it will be rejected. If you are a family, then work out how to share the refund between yourselves.
And....if you decide to "each" claim one child-- as @Vanessa A Vanessa A pointed out, you cannot both use the Head of Household filing status. Only one of you can say you paid over half of the costs of running the household. So one of you files Single and claims a child, one files HOH and claims a child. Or....one of you claims both children as explained above.
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**
