New Zealand's Covid-19 death toll stands at 25.
Deliveries are expected weekly, with a batch in the low tens of thousands delivered within the first consignment.
PM Jacinda Ardern says the Covid vaccine will arrive in NZ next week.
National leader Judith Collins and ACT leader David Seymour led the charge in hammering the Government, with multiple press statements, on why the rollout was taking so long, especially after Covid-19 Response Minister Chris Hipkins said New Zealand would be "at the front of the queue" to get the jab.
Use of the Pfizer/BioNTech vaccine was signed off by the Government on Wednesday.
New Zealand, Ardern said, will be responsible for much of the distribution of the vaccines in the Pacific Islands.
He said 750,000 courses are expected over the first three-quarters of this year.
Speaking to media in Auckland this morning, Ardern said it would take roughly two to three weeks for all 12,000 frontline workers to receive the jab.
Ardern this morning said the first batch was set to arrive on our shores next week, ahead of previous expectations.
"That means we should be in a position, all things going to plan, to start vaccinating our border workers from next Saturday, the 20th of February".
The Pfizer vaccine will first be rolled out to border and frontline workers, which include nurses, cleaners and security staff at managed isolation facilities.
The next group to receive the vaccine would be household contacts of border workers.
Vaccination of border workers is expected to start next Saturday.
Ms Ardern said border restrictions could be eased if there was evidence that vaccines reduced transmission.
It is among the last major economies to begin its Covid-19 vaccination campaign, which is seen as vital for preparations for the Olympic Games, due to open in fewer than 200 days, after being postponed in 2020 as the coronavirus spread.
However, Ms Ardern said the vaccination programs would have no immediate impact on the stalled trans-Tasman travel "bubble". Vaccinators need to undertake training for this specific vaccine because of this.
New Zealand Prime Minister Jacinda Ardern announcing the country's approval of the Pfizer-BioNTech COVID-19 vaccine. We appreciate the effort the company has gone to to deliver the first instalment earlier than originally anticipated.
"Last year we indicated the vaccine would arrive in quarter two, and earlier this year we updated that to quarter one".
The Ministry said the patient was transferred from a managed isolation facility into hospital-level care for the treatment of a serious non-Covid related condition earlier this month, and then returned a positive result.
New Zealand Medical Association chairwoman Dr Kate Baddock says the vaccine is the next step in dealing with the pandemic.
Hipkins said while the process for the Pfizer vaccine is "relatively straightforward" there is "a huge amount" of detail to consider for other vaccines being sought by New Zealand - AstraZeneca, Janssen, and Novavax - amounting to more than 20 millions doses.