The ship was carrying a total of 1473 passengers, the "vast majority" of whom are from the UK and the USA. The 10 positive had come back during "routine testing."
It was not immediately clear from Cunard whether close contacts were traced.
All passengers were required to be fully vaccinated and to test for COVID prior to boarding.
The liner departed from Southampton (England UK) on December 13 for a Transatlantic itinerary and is scheduled to sail to the Caribbean on Wednesday, December 22, with plans to return to NYC on January 3 before returning to the UK.
The travelers were being disembarked in NYC in line with Cunard's protocol before the ship continues on her itinerary.
Cunard said that whilst the guests who had tested positive had disembarked, in line with approved protocols, all guests remaining onboard would be tested again in the coming days.
The guests who had to leave the liner are being supported by the "CARE" team of Cunard during isolation in hotels in NYC.
Following isolation and upon receipt of a negative Coronavirus test, passengers who disembarked to isolate but wish to go back to the United Kingdom on the Queen Mary 2 can rejoin on January 3.
For more Queen Mary 2 incidents and accidents see the ship's CruiseMinus page.