Depends. The insurance you need to have is liability and damage to another vehicle so that if you injure someone, or damage someone's car in an accident, you have some coverage. Collision insurance for an old car may not make sense since the car will be "totaled" if the expense of repair exceeds the blue book value of the car, plus, there's a deductible usually, and if you file, your rate tends to go up. If the car is worth less than $4000, it's probably not worth it.