Hello , how can I find a free lawyer in New-York state , thank you .

You can go to the bar association and ask them to refer one to you.
I believe you have to have financial proof that you are low income.
A lot depends on what the issue is too.
I have never heard of Injury lawyers working for free as a rule.

LSC: Get Free Civil Legal Help

where to get a free lawyer - Google Search

Sometimes you can get an initial free consultation with a paid lawyer to see if you even have a case. They usually advertise on TV or in the yellow pages if they give free consultations.

If you want a simple divorce you shouldn't even need a lawyer