Hi marco,
To change your address on your National Insurance account you may do so via your Personal Tax Account (PTA).
If you do not have a PTA you may wish to set one up here:
Personal tax account: sign in or set up
You may also call our National Insurance Helpline on 0300 200 3500 (from the UK) or +44 191 203 7010 (from overseas) and they will be able to update your National Insurance account.
Thank you.