If you are injured in a motor vehicle accident, file a written notice of claim with the No-Fault insurer that identify the injured person(s). Drivers who get into a car accident without insurance in New York may face penalties, such as having to pay fines or facing driver's license suspension.The police will file a report which is a key document if you need to file an insurance claim or take legal action later. If you are involved in a car accident in New York, and the other driver does not have insurance, we are here to help you through the legal process. If you are driving in NY and are involved in a crash you must file an MV-104 (Motorist report) if any of the following occurred. Your Liability Insurance: Since the accident is your fault, your liability insurance will come into play. We've laid out how to handle accidents with uninsured drivers and the best practices for filing an insurance claim. When you file an uninsured motorist insurance claim, your own auto insurance provider will pay for covered losses up to your policy's limit. In most states, when an accident occurs one party is usually considered "at-fault" and must cover the injuries of the other driver and their passengers. Going Through Your Collision Insurance.