However, the women, one in her 30s and the other in her 40s, were allowed to leave their isolation site in Auckland early to visit a dying parent in the capital, Wellington.
Two women, both from the same family, contracted the virus after arriving from the United Kingdom via Australia on June 7.
The country's total number of confirmed cases is now 1,156, and its combined total of confirmed and probable cases is 1,506.
But before they were tested, the women had been given an exemption to leave quarantine on compassionate grounds and had traveled from Auckland to Wellington by vehicle.
Yet there was a twist at Question Time on Wednesday afternoon, as National health spokesman Michael Woodhouse claimed the pair had initially taken the wrong route out of Auckland, and "the good Samaritans who assisted them [the right way] were rewarded with a kiss and a cuddle".
Only New Zealanders, their families, and essential workers are now permitted to enter the country, which has no other domestic restrictions in place due to the nation's success at quashing the spread of Covid-19.
Beijing's airports cancelled more than 1 200 flights and schools in the Chinese capital were closed again on Wednesday as authorities rushed to contain a new coronavirus outbreak linked to a wholesale food market.
"I can not allow the gains we have all made to be squandered by processes not being upheld", she said. "We will see more", Bloomfield said.
"I provided all the information I had on Tuesday when I made the announcement [of the two cases]", he said.
"Information evolved", Ashley Bloomfield, the country's top health official, said after presenting incorrect details as fact and apologising.
The new infections are a set back to New Zealand, which lifted all social and economic restrictions except border controls last week, declaring it had no new or active cases of the coronavirus, one of the first countries in the world to return to pre-pandemic normality.
The report stated that one of the women had mild symptoms of the virus. It was also not known whether others were granted compassionate exemptions to quarantine without being tested.
New Zealand's health ministry has determined 320 potential contacts of the two women.
Dr Bloomfield added that going forward, that he asked for "anyone released for compassionate exemption [to be] tested and [have] a poor result" before they are released.
China consumer inflation slows in May
The domestic epidemic situation was generally stable in May, and businesses have resumed work, production and operation in an orderly manner.