The address on your driving licence should be the address at which you live and can normally be contacted. The address on the vehicle registration document should be that of the registered keeper of the vehicle, through which he/she/they can normally be contacted.
There is no requirement for these addresses to be the same as the registered keeper of the vehicle may not be the driver. However, if they are one and the same you would be wise to align the information by correcting one or the other.
Problems may arise if you do not have access to the mail sent to one or other of the addresses. If you are caught speeding by an automatic device and are not stopped at the time then a request for driver information will be sent to the address of the registered keeper. If you do not get the mail from that address there is a danger that you will be penalised for failing to provide the details.
It is doubtful that any charges will arise providing you get the mail at both addresses and respond to it appropriately. However, you would be wise to rectify the situation asap.