Must your car have a traffic insurance if you have made an off road notification for it?

No, if you have made an off road notification for your car it does not need a traffic insurance.

Traffic insurance is only compulsory for all vehicles that are licenced for use. But if you are not going to use a vehicle for a long period of time, you can make an off road notification. In this case, you do not have to pay vehicle tax or traffic insurance.