Any driver with points on their licence will see their insurance premiums increase as a result of their driving offence. Some insurance providers may even refuse to insure drivers with 3-9 points for more serious offences, which is why knowing your conviction code is so important.
If you are already in an insurance contract, your provider may decide to immediately increase your premiums when you receive penalty points, while others may wait until your contract is due for renewal. Different insurance providers will have different policies on insuring drivers with 3-9 points, and some providers will specialise in insuring those with penalty points.
If you commit a speeding driving offence, then instead of penalty points, you may be offered the opportunity to attend a speed awareness course. This is a popular choice as it avoids further points on your licence. However, it is important to bear in mind that some insurance companies may still increase your premiums for attending the course. Even if you pass a speed awareness course, you must still let your insurance company know that you have broken the Road Traffic Act 1988.