NZ citizens can buy residential property in NZ. If you are a spouse or partner of a NZ citizen and you are buying a property together with your partner then you do not need to consent to buy. The provisions covering spouse or partner can be found in Part 2 regulation 45 and 58 in the Overseas Investment Regulations 2005.
You are not able to buy residential property in NZ. To be eligible to buy a home to live in, you need to hold a residence class visa and meet other criteria.