Employment Relations Act 2000, ss 54, 64, 65, 235B; Employment Relations (Infringement Offences) Regulations 2019, reg 5
Yes. Every employee must have a written employment agreement.
If your boss doesn’t provide you with a written agreement, a labour inspector can give them an infringement notice (like a speeding ticket) requiring them to pay a $1,000 fine. Alternatively, you or a labour inspector can ask the Employment Relations Authority to order your boss to pay a financial penalty.
Your boss must keep a signed copy of the agreement. They must also give you a copy, if you ask for one. If they breach those rules, the Employment Relations Authority can order them to pay a penalty.