Foreign Minister Gerry Brownlee says the Government Communications Security Bureau is looking into claims that North Koreans could be hacking into New Zealand computer servers for backdoor access to the internet.
But he said if it was allowing ordinary North Koreans access to outside world, that was "a good thing."
The claims about access have been made in a report by Recorded Future, a Massachusetts-based company that specialises in providing private companies with cyber-threat intelligence.
It said there had been near absence of malicious cyber activity from North Korea from April to July this year which indicated that most of its state-sponsored activity was perpetrated from abroad.
Its data demonstrated there were significant physical and virtual North Korean presences in several nations around the world where North Koreans were likely to be engaging in malicious cyber and criminal activities.