nice copy and paste from here
https://www.gov.uk/vehicle-registration-...c-log-book
Get a V5C vehicle registration certificate (log book)
Not what you're looking for? ↓
Apply by phone or use form V62 to get a replacement V5C vehicle registration certificate (log book).
You can get a replacement if your original V5C certificate has been lost, stolen, damaged, destroyed or you haven’t received the certificate for your new vehicle.
Apply by phone
You can apply by phone if:
you were shown as the registered keeper on the original registration certificate
your name, address and vehicle details haven’t changed
you can pay the £25 fee by debit or credit card
DVLA
Telephone: 0300 790 6802
Apply by post
Complete form V62 ‘Application for a vehicle registration certificate’ and send it to DVLA with the £25 fee.
There is no fee if you haven’t received the V5C registration certificate for your new vehicle but still have your green V5C/2 section. You’ll need to send this in with the completed V62 form.
DVLA
Swansea
SA99 1DD