Yes, motor insurance is transferable to the purchaser of the automobile. All you have to do is inform in writing about the transfer to its insurance provider. The original owner of the car needs to fill out a new proposal form. A nominal fee is charged for the insurance transfer along with the recovery of No Claim Bonus from the transfer date till policy expires on a pro-rata basis.
In 1930, the UK Government introduced a law that required every person who used a vehicle on the road to have at least third-party personal injury insurance. Today, this law is defined by the Road Traffic Act 1988, (generally referred to as the RTA 1988 as amended) which was last modified in 1991. The Act requires that motorists either be insured, or have made a specified deposit (£500,000 in 1991) and keeps the sum deposited with the Accountant General of the Supreme Court, against liability for injuries to others (including passengers) and for damage to other persons' property, resulting from use of a vehicle on a public road or in other public places.
You’ll notice that none of that liability coverage pays for your car or injuries, nor for any injuries your passengers sustain if you cause a wreck. This is why many people — particularly those whose car isn’t yet paid off — want “full coverage” car insurance. This isn’t actually a type of coverage, but instead typically refers to policies that include liability coverage, plus comprehensive and collision coverages.
But liability coverage levels come in threes — you’ll probably see something like 50/100/50 up to 250/500/250 in typical policies. You can think of these limits like: individual injuries / total injuries / property damage. Insurers are a little more technical, calling them bodily injury liability, total bodily injury liability and physical damage liability.