If you have comprehensive insurance, you can make a claim if you’re hit by an uninsured or unidentified driver. However, this usually means losing your no-claims discount, even if the accident wasn’t your fault.
If you have third-party fire and theft or third-party-only insurance, you’ll need to claim compensation via the Motor Insurers’ Bureau. This is a non-profit organisation that helps road users with claims against uninsured or untraced drivers.