New Zealand Superannuation and Retirement Income Act 2001, ss 26, 26A, 26B
If you are already getting NZ Super, you can generally continue to be paid at least a portion of your pension while you are travelling or living overseas. You must apply to Work and Income before you leave New Zealand (unless you left intending to be away for less than six months, but circumstances outside of your control mean that you have to extend your planned time away).
There are some special rules for people going to live in the Pacific for more than a year or people going to live in a country that New Zealand has a ‘reciprocal agreement’ with (for example, Australia, the United Kingdom, and Canada).
You can contact International Services to discuss your plans and how to apply on 0800 777 227. More information is available on Work and Income’s website, here (or go to workandincome.govt.nz and search “get Super overseas”.