Police Association president Chris Cahill said the message from members is clear - they do not believe the current availability of firearms is sufficient for their safety.
Last week Police Commissioner Andrew Coster ruled out a move towards the general arming of police officers.
He was commenting after Eli Epiha who murdered police officer Matthew Hunt was found guilty of the attempted murder of the officer's partner, Constable David Goldfinch.
Coster said safety of the front line was top of mind for the police leadership who were looking at "whole system settings" to keep police as safe as possible.
"It's tempting to want to reach for a single solution that would be the magic wand.
"I'm pretty clear that general arming is not that magic wand.
"If we look internationally, there's no jurisdiction you would point to to go they're so much safer than us because they carry firearms."
In April, RNZ reported that dozens and sometimes hundreds of frontline police officers have been told to carry guns on average once a week in recent months, as fears around gun violence escalate.
Some of these temporary arming orders - where all frontline officers can be armed - can span entire districts and last for days, usually while police investigate a shooting or other violence.