If you file a claim for injuries caused by your pet, you will likely see an increase in your insurance premium at the next renewal date. This is because an insurance company views a claim as an indication that such damages could happen again, so you are charged more to compensate for that increased risk. If the injuries are severe enough, your insurance company may choose to cancel your policy. If your policy has been canceled due to a pet injury claim, you will likely have trouble finding a policy to extend coverage to your pet or pay much more for coverage from a new carrier.