The credit you are referring to is the New York State noncustodial parent earned income credit. See the following link on the NY Department of Taxation web site for some basic information about the credit.
https://www.tax.ny.gov/pit/credits/nceic.htm
Note that you can only claim this credit if you paid child support through a Support Collection Unit under court order.
In the TurboTax New York program this credit is included in the Earned Income Credit topic. On the screen for "New York credits and taxes," click the Start, Update, or Revisit button for Earned Income Credit.
