Proof of insurance must be shown at traffic stops, accident scenes, and vehicle inspections. Navigate Ohio's accident reporting: Learn when and how to fill out a Motor Vehicle Accident Report.Get the facts with expert guidance. Accident insurance is just one of many supplemental insurance plans that can complete your health insurance coverage. The minimum coverage includes: a. Knowing how to file a car accident claim in Ohio can be the key to receiving a full injury settlement. Learn the rules around whose insurance pays and when in an Ohio car accident. If you're injured, call KNR. The only case where you are required to file a crash report with the BMV is if you were in an accident with an uninsured driver. The law also requires bodily injury liability coverage.