To get commercial health insurance you must enroll as client in the New York State (NYS) Marketplace. To qualify you must be a New York state resident, US citizen, national, or lawfully present immigrant.
If you are eligible for public health insurance like Child Health Plus or NYS Medicaid (based on your income), different immigration rules may apply. Please note that current incarceration disqualifies eligibility.
Learn more about the health insurance marketplace and plans at nystateofhealth.ny.gov. For a guide about health services coverage go to healthinsurance.org/states/health-insurance-new-york.