You don't have to declare vitamins, only prescriptive medication on entry to NZ and with prescriptive medicine, you must have a doctor's letter. However if health supplements include traditional medicines and herbs, animal products etc, you must declare it,
When it comes to customs, most people find it hard to differentiate what it allowed and what is prohibitive, so it is best to just declare it. If the customs find something prohibitive in your luggage, they will usually confiscate the item and dispose of it without penalising you at all.
However if you choose not to declare and walk over to the green zone and was inspected and found with prohibitive items, then you have a devil of a time trying to convince them that you really didn't know.
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