Start here:
Partner of a New Zealander Work Visa if you are either a New Zealand citizen or a Resident Visa holder,
Partner of a Worker Work Visa if you currently hold a Work Visa, or
Partner of a Student Work Visa if you currently hold a Student Visa.
If you are a New Zealand citizen or a Resident Visa holder, and once your and your partner have been living together in a genuine and stable relationship for 12 months or more, the
Partner of a New Zealander Resident Visa becomes available.
For completeness, here's links to
Partner of a New Zealander Visitor Visa,
Partner of a Worker Visitor Visa and
Partner of a Student Visitor Visa if your and your partner are not eligible for your partner to be granted a Work Visa for whatever reason.