There are two new Covid-19 cases in managed isolation and quarantine facilities today.
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There are no new cases in the community.
In a statement, the Ministry of Health said the two new cases both arrived in New Zealand from Japan - one on 16 May and the other on 23 May.
One of the cases is now in a managed isolation facility in Auckland and the other in Christchurch.
It also said four previously reported cases have now recovered.
The seven-day rolling average of new cases detected at the border is two.
The total number of confirmed cases in New Zealand is 2313 and the total number of Covid-19 tests processed to date is 2,111,902.
Yesterday, 2950 Covid-19 tests were processed. The seven-day rolling average is 3801.
The ministry said since 1 January 2021, there have been 64 historical cases, out of a total of 496 cases.
Meanwhile, a possible source of infection has been identified in a cluster of five new cases of Covid-19 that have been confirmed in Melbourne's northern suburbs over the last two days.
The latest case, detected today, was a man aged in his 60s.
Acting Premier James Merlino said the man had symptoms prior to the first identified case, suggesting he could be the possible source case for the outbreak.
The cluster has prompted the government to reintroduce measures such as the mandatory wearing of masks indoors, and limits on both private and public gatherings from 6pm (Australian time) tonight.
People will be restricted to five visitors per day to their homes, and public gatherings will be restricted to 30 people.
In today's statement, the New Zealand's Ministry of Health said it was actively monitoring the Covid-19 situation in Melbourne and was in close contact with Australian health authorities.
It said anyone who had visited Melbourne since 11 May, should monitor for symptoms and seek advice from Healthline if symptoms develop.
Victoria's chief health officer Brett Sutton said testing had determined the new cases were the "so-called Indian variant".
"It is as infectious as any other variant that has been reported historically, so it is by no means want to be complacent about," he said.
In India, the number of deaths linked to Covid-19 has moved past 300,000 as the country continues to grapple with the pandemic.
Experts warn that the real number of fatalities might be much higher as many deaths are not officially recorded.
India has recorded 26 million cases - second only to the US - and is now the epicentre of the global pandemic.
- RNZ / ABC/ BBC