Question regarding my 2 kids, I get child support and Non-Custodial parent has not provided medical insurance, do I get fined for him not getting them insurance all year?

You're responsible for obtaining health insurance for anyone you claim as a dependent, and you're subject for the ACA penalty fine if they are not covered, UNLESS you qualify for one of the exemptions.  You can find out about the exemptions at this website:  https://www.healthcare.gov/health-coverage-exemptions/exemptions-from-the-fee/

Even though its on our Child support agreement that he is to provide medical insurance for them? I did go thru the exemptions, looks like I might be ok being that I didn't qualify for Medicaid. Thank you for your time to answer my questions and your help!

Unfortunately, under the tax rules, it does not matter if the other parent is court ordered to provide health insurance for the child.  If the child is not insured, the parent who claims the child on his/her taxes is will have to pay the penalty.

Did you apply for Medicaid and was denied?  If so, you can send in your application for a Hardship exemption from Healthcare.gov.  If you did not apply for Medicaid (and were denied), you probably won't receive the Hardship exemption.
<a rel="nofollow" target="_blank" href="https://www.healthcare.gov/exemptions-tool/#/results/2016/details/medicaid-chip-denied">https://www.healthcare.gov/exemptions-tool/#/results/2016/details/medicaid-chip-denied</a>

I thank you so much for this helpful information this will help me get prepared this tax year. I did apply for both Medicaid and food stamps with NO Luck