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A marine electronics engineer tested positive for the disease on Saturday.
It's believed he caught the virus while working on a ship, the Sofrana Surville, in Auckland on October 12 and 13.
The ship arrived in Brisbane last night.
New Zealand officials are following up with public health officials in Australia about the health of those on board, the Ministry of Health said in a statement today.
Local authorities are conducting testing and serology on its 19 crew members. They will share the results when received and conduct genome sequencing on any positive results, if any.
The ship travelled from Brisbane to Tauranga and then to Auckland, where eight crew joined it from the Philippines. They had flown into New Zealand and were released from managed isolation on October 13.
The New Zealand port worker was wearing PPE while working on board on October 13.
Eleven people are considered to be in contact with the Sofrana Surville while it was in Auckland, the Ministry's investigation has found.
The Ken Rei, a ship off the coast of Napier with 21 crew on board, was also being looked at. The engineer also worked on the ship.
It is currently anchored off Napier and all 21 workers on board are being treated as close contacts. The man had been working on equipment on the ship on October 14.
The Ministry is working to determine the next moves in regards to testing the close contacts with crew members on board.
All 21 crew members are well and are not reporting any symptoms of Covid-19. They have been symptom-free for seven days.
"Officials are determining with the ship's owners the next move for the Ken Rei, in conjunction with public health units and port authorities," the Ministry said.
"Testing arrangements will be made once a decision about future movements has been made."
There are 30 community close contacts identified in relation to the port worker case.
All those deemed as a close contact of the man have been contacted by the authorities and are self-isolating.
"All the test results returned from close and casual contacts of the case announced on Sunday are negative to date," the Ministry says.
Meanwhile, a New Zealand-based ship with a New Zealand-based crew will be tested by Kiwi officials tomorrow.
But the vessel, the Moana Chief, is considered unlikely to be the source of a suspected historical case of Covid-19 which was revealed yesterday.
"The ship is today moving from Marsden Point to Tauranga, and testing of the crew will take place tomorrow to rule it out as the source of infection," the Ministry says.
All are being followed up, tested and isolated if required.
"Toi Te Ora, the public health unit in the Bay of Plenty, is continuing work to identify people who boarded the ship (Sofrana Surville) while it was in Tauranga," the Ministry said.
The new imported case is a person arrived on October 7 from Kenya via Dubai before being taken to a managed isolation facility in Auckland.
They tested positive around day 12 on their stay and have been transferred to the Auckland quarantine facility.
There are no new community cases of Covid-19.
Meanwhile, five previously reported Covid-19 cases in New Zealand are considered to have recovered, bringing the total number of active cases to 33.
The overall number of confirmed cases is now 1531.
Yesterday, the Ministry's laboratories completed 2715 tests for the virus, bringing the total number of tests completed to 1,034,603.
There are now 2,311,100 users registered on the NZ Covid Tracer app.
The app has recorded a total of 94,853,858 poster scans, and users have created 3,962,747 manual diary entries.