In a statement, the Ministry of Health confirmed Hawke's Bay District Health Board is also set to become the 12th DHB to reach the 90 percent fully vaccinated milestone.
Of the 34 cases in the past day, 21 were detected in Auckland, while other positive tests were returned in Waikato (7), Lakes (3), Bay of Plenty (2) while there was also an infection found in Canterbury. The health ministry noted there were lower testing numbers on Boxing Day - with just 5716 PCR swaps completed compared with a seven-day rolling average of 15,919.
The number of New Zealand patients in hospital with COVID-19 fell to 41 on Monday - down from 47 on Sunday. Eight people remain in intensive care.
Ministry of Health data released on Monday shows 10 COVID-19 cases have been detected at the border in the past day - four of which were Omicron.
The Omicron variant, first identified in South Africa, continues to run rampant across the world but has yet to leak into New Zealand's community.
COVID-19 infections have soared wherever the highly infectious variant has found a foothold, including in Australia and the UK, triggering new record numbers of cases.
Omicron is becoming dominant in much of Europe including in Britain, where new daily infections have soared beyond 100,000.