"Members have been clear from the beginning that their safety at work and the safety of their patients is a priority, and that is where they most deserve certainty.
"Better pay will make nursing more attractive, but it is not clear how the DHBs will be held accountable if they do not provide safe staffing. Nurses don't want more vague promises that the problem will be fixed in the future - which is what we have received once again."
Nurses were standing up for the future of their profession and wellbeing of New Zealanders, Wait said.
"This won't happen until the DHBs put accountability systems in place so nurses know things really will change and that their employers will listen when they feel unsafe at work."
The NZNO would continue with negotiation, bargaining and mediation with district health boards (DHBs), Wait said.
"We want the DHBs to come back with an offer that provides certainty over how safe staffing will be addressed. Members are tired of ambiguity."
Whether or not the strikes would go ahead depended on negotiations, Wait said.
In a statement, Dale Oliff - a spokesperson for the DHBs - said the offer was worth more than $400 million and it was prepared to start new talks tomorrow morning.
He said the DHBs were surprised by the response.
"The package was a significant increase on the last offer with several initiatives to help address workforce shortages and safe staffing, significant increases on base rates, and lump sums totalling $7200.
"Negotiation involves a degree of realism and compromise, DHBs have shown we're prepared to move and I'd urge the NZNO and its members to reconsider their position."