In most cases you can, in effect, transfer your current car insurance to your new vehicle. In this event however, you must stay with your current insurer and request the same coverage. As a rule, your premiums will change. Legally speaking, you are taking out a new insurance policy.
If you would like to take out a new car insurance policy for your new vehicle, you must actively cancel your existing policy for the old vehicle. If you do not do this, the policy will continue. In this case, your insurer will only be informed when you de-register your old vehicle with the Driver and Vehicle Licensing Office. The resulting follow-up processes can end up being quite tedious. For this reason it is worth being proactive and canceling the insurance.