As per the New Zealand customs website
Removal companies, airlines and shipping companies will usually provide arrival papers for your imported personal effects. Some freight forwarders/Customs brokers or removal companies will also assist you with Customs formalities. They may charge a fee for their services for obtaining Customs clearance.
To obtain clearance of the shipment you need to: complete an Unaccompanied Personal Baggage Declaration form. This form is a declaration for both Agriculture and Customs; and obtain an agricultural clearance for the shipment through the Ministry of Agriculture and Forestry; and
obtain any permits that may be needed, for example, a Police Permit to Import if you have firearms in the shipment; and arrange for a Customs clearance. To arrange a clearance, Customs require: a completed Unaccompanied Personal Baggage Declaration; and the agriculture clearance; and permits from other agencies (where applicable); and your passport; and a full inventory of what is in the shipment; and the shipping arrival papers (such as the Bill of Lading, Airway Bill, or Arrival Advice).
If you are overseas at the time your goods arrive, you will need to arrange for someone else to arrange the clearance on your behalf. You will need to provide them with written permission to do so as well as a photocopy or the head/biographical page of your passport.
It is not recommended that you include medicines in your unaccompanied baggage.
If you require further information, please contact NZ Customs office.
For further advice and prices on car shipping to New Zealand, please contact our office, Tel: 0844 272 6731