Insurance laws as well as insurance company guidelines differ so you will have to find out for certain if your father's insurance would allow this type of set up for insurance. Normally though one must have insurable interest in order to insure a vehicle. If you want your father to insure your car, instead of yourself, then many insurance companies would not allow this since he does not have insurable interest in the vehicle.
If you live in the same household as your father and want to add the car to his current policy this may be allowable, again it will depend upon what his insurance company's underwriting guidelines are. If instead you live outside of his household and thus the car is garaged at a different address then it is doubtful that an insurance company would permit him to insure the car under his policy.
If your car cannot be placed on your dad's current car insurance policy and you need to obtain your own insurance on you vehicle, start shopping for an affordable auto insurance policy here with us.