In most cases, you can insure your car on your father’s policy but you will have to be listed as a driver on the policy. If you will not be driving the car you will need to listed as an additional interest on the policy for your vehicle. The person driving the car will need to be listed as a driver. With that being said, some finance companies require you to have the insurance in your name. I would double check with your finance company. Good luck and if you have any other questions, don’t hesitate to ask.