Cyclone Gabrielle death toll rises to five as recovery under way in New Zealand

New Zealand stepped up recovery efforts on Thursday after Cyclone Gabrielle left at least five people dead and displaced 9,000 in the country's most damaging storm in decades.

Gabrielle, which hit New Zealand on Sunday before making its way down the east coast of the North Island, cut off entire towns, washed away farms, bridges and livestock, and inundated homes, stranding people on rooftops.

Communication and access to a number of areas remains difficult and surveillance flights are being undertaken to survey the damage and identify those who may be isolated.

"My heart goes out to those families and those who have been in an extraorinary difficult set of circumstance," New Zealand Prime Minister Chris Hipkins told media. "We will absolutely be focused on doing everything we can to support them," he added.

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The New Zealand Police on Thursday said they were investigating the death of a person in Gisborne, who was believed to have been caught in flood waters.

Four other deaths have already been confirmed and police have grave concerns for several other missing people.

Hipkins said the inability for people to get in touch with family and friends was a real issue and the government was working on immediately increasing connectivity.

Earlier Thursday, New Zealand Finance Minister Grant Robertson said in a statement the country was financially able to meet the costs of a rebuild.

Parts of New Zealand's North Island, where about 75 per cent of the country's 5 million residents live, are enduring their second major storm in as many weeks. Record rains last month triggered flash floods in Auckland and four people lost lives then.

Authorities estimate more than 9,000 people have been displaced so far, with around 3,000 housed in temporary shelters. Analysts and economist say it is too early to estimate the cost of the rebuild but it will likely be billions of dollars.

Meteorological service MetService said Cyclone Gabrielle is now east of the country and continuing to track away from the North Island. However, it said thunderstorms might hit badly affected areas Hawke's Bay and Tairawhiti on Thursday.

The region was hardest hit during Cyclone Bola in 1988, which caused millions of dollars in damage and left seven people dead.