If you want to recover damages after an uninsured driver strikes your vehicle, your best option is to seek compensation from your insurance company. In most cases, your insurance will cover an accident with an uninsured motorist in Florida.Florida is a no-fault state. If one driver or passenger is severely injured beyond his insurance limit, Florida law allows these victims to sue the at-fault driver for additional damages. If you were injured in an auto accident and have uninsured or underinsured motorist coverage, we recommend contacting our firm to discuss your options. You can elect to purchase uninsured motorist (UM) coverage as part of your overall insurance package. Without Uninsured Motorist Insurance, you're hoping that everyone around you on the road is taking responsibility in case they crash into you. If the at-fault driver has insufficient liability insurance to cover your injuries resulting from an accident, your Underinsured Motorist will provide coverage.