Yes, they can bring their partner and dependant children if they meet health, character and, in some cases, English language requirements.
Where a prospective employee is applying for a work permit, their partner may be eligible for an open work permit and their school age children eligible for student permits.
Where the prospective employee is applying for New Zealand residence, the partner and children would ordinarily be part of that application and may also be granted residence if the application is successful.
The partner of an applicant must be legally married to, or in a civil union or de facto relationship with the applicant. They must be able to show that their relationship is genuine and stable. A partner will only be granted residence if both people in the partnership have been living together for at least 12 months.
Dependant children can be aged up to 19 years in the case of people applying for work permits and 24 years for residence permits. To be considered dependant, children need not live with an applicant but must be able to prove that the dependent relies mainly on the applicant or their partner for financial support. They must not have children of their own.