Yes, you can put a young driver on your insurance. However, it is important to bear in mind that this will likely increase your premiums. If you are the main driver of the car, you should be the one listed as such on the insurance policy. It is also worth noting that some insurers may not cover drivers under the age of 21. The nature of the insurance beast is that younger drivers tend to get into more accidents, therefore pushing up the general cost of cover. However, getting telematics or black box cover could help show insurers that you are safe on the road and therefore less of a risk.