Some 27,000 people had their first vaccination, with 60 percent of those in Auckland, officials say, as the ministry reports three new cases in MIQ.
Covid-19 Response Minister Chris Hipkins says that was as of midnight Tuesday. Some MIQ workers have received their second vaccination.
"We're making good progress on the rest of group one, while we're beginning to start the process of moving into group two," he says.
"It's a good solid start to the countries biggest ever vaccination program ... vaccine deliveries will make New Zealand a safer place to live."
MIQ head Brigadier Jim Bliss says the second round of immunisations for border and MIQ workers is under way.
Bliss says every day they go to work "they put themselves between us and the virus".
He says about 9600 NZDF uniforms personnel will be vaccinated - already 600 have had their first dose.
It is important for them to get the vaccination, he says, to add another layer of protection for them, their families and all New Zealanders.
Bliss was one of those who has had a second vaccination, Hipkins says.
"This is a challenging environment to work in," Hipkins says, "many of them are feeling a bit of a stigma associated with the work that they're doing at the moment and they continue to go to work every day and do it on our behalf.