Inland Revenue is probing a huge leak of 13.4 million documents from an offshore law firm and a trust company in Singapore which revealed where the super-rich were storing their money.
International revenue strategy manager John Nash said the agency is interested in hearing from any New Zealand taxpayer with exposure to Appleby.
"We have a strong focus on international tax compliance by New Zealand taxpayers," Nash said.
"It would be prudent for anyone involved to come forward and explain their position to us so we can assess whether the correct amount of tax has been applied."
Prime Minister Jacinda Ardern today said she was aware of the papers, and was seeking more information. Asked if changes to rules around trusts had gone far enough, Ardern said she wanted more information before commenting.
"I am aware obviously of what is happening but I would like more information."
The so-called Paradise Papers leak is drawing comparisons to last year's Panama Papers scandal.
The documents were obtained by the German newspaper Sueddeutsche Zeitung and shared with the International Consortium of Investigative Journalists (ICIJ).
The papers "show how deeply the offshore financial system is entangled with the overlapping worlds of political players, private wealth and corporate giants," the ICIJ wrote on Sunday.
The names of more than 120 politicians in nearly 50 countries appear in the 1.4 terabyte data leak, along with figures from the worlds of sports and business.
Among public figures linked to the documents was the Queen's private estate which has millions of pounds invested in the tax havens, the BBC reported.
It is alleged that the Duchy of Lancaster, which handles the Queen's investments, has held funds in the Cayman Islands and Bermuda.
Around GBP10 million ($NZ22m) of the Queen's private cash is said to have been tied up in offshore portfolios, the BBC reports.
There is nothing to suggest that any investments are illegal.
The documents show that Commerce Secretary Wilbur Ross, the Trump administration's point man on trade and manufacturing policy, has a stake in a company that does business with a gas producer partly owned by the son-in-law of Russian President Vladimir Putin.
According to the ICIJ, Ross is an investor in Navigator Holdings, a shipping giant that counts Russian gas and petrochemical producer Sibur among its major customers. Putin's son-in-law Kirill Shamalov once owned more than 20 per cent of the company, but now holds a much smaller stake.
Commerce Department spokesman James Rockas said Ross "never met" Shamalov and has generally supported the Trump administration's sanctions against Russia, according to the ICIJ report.
The German newspaper, which began reporting on the content of the documents late on Sunday, said they show how big companies and the super wealthy hide their money using tax havens.
Sueddeutsche Zeitung and ICIJ said the bulk of the documents were from the prestigious offshore law firm Appleby, which was founded in Bermuda and has offices in several other locations.
ICIJ said clients include financial institutions, such as Citigroup and Bank of America, as well as technology giants Apple and Uber, and brands like Nike.
Appleby calls itself "one of the world's largest providers of offshore legal services", and admitted last month that it had been hacked.
The cache of documents also includes half a million records from Asiaciti Trust, a firm based in Singapore that specialises in off-shore services for clients.