The decision not to vaccinate all police officers before the general public has left some in the force "downright angry".
A police spokesperson said 4000 police staff had received at least one dose, including staff working at the border and in MIQ where the vaccine is mandatory.
Police Association president Chris Cahill said there were around 10,500 sworn and 3000 non-sworn officers - and the figure of vaccinated workers wasn't high enough.
He told Newstalk ZB's Kerre McIvor that he was frustrated officers were put into cohort four with the general public despite the frontline roles they held.
Officers had since been moved to cohort group 2 - but that decision had been made too late, he said.