To receive a grant of New Zealand citizenship, a person must either fulfil the general requirements or qualify for a special grant (e.g. as the child of a New Zealand citizen or as a qualifying Samoan citizen).
A person granted New Zealand citizenship must usually attend a citizenship ceremony, unless they are under the age of 14, already a New Zealand citizen by descent or granted citizenship on the basis of birth outside New Zealand to a New Zealand citizen mother. These ceremonies are conducted by local city and district councils at regular intervals, although some new citizens choose to attend a special ceremony, such as those which occur on Waitangi Day (New Zealand's national day, 6 February). At the ceremony, the person must make the oath of allegiance for new citizens before the city or district's mayor (or another presiding officer), unless the Minister of Internal Affairs has waived this requirement.
A person who receives a grant of New Zealand citizenship is a New Zealand citizen otherwise than by descent, and so they can pass on New Zealand citizenship to their children born overseas.