It brings the ship’s death toll from COVID-19 to 10.
More than 600 passengers from the ship have been diagnosed with the coronavirus since it docked in Sydney on 19 March.
Another person not from the ship also died in NSW from the virus overnight.
The latest four deaths in the state were men aged 61, 76, 80 and 91.
Speaking to media in Sydney, the NSW health minister Brad Hazzard said there are 39 people with the virus who are in intensive care units in the state, including 23 on ventilators.
“I want to say this is an extremely dangerous virus. It is still marching through our community, and people need to be on high alert,” he said.
“It has killed at this stage in New South Wales 16 people. I also want to say that, for those who don’t know what it is like, if you have never had a severe bout of pneumonia, a severe bout of asthma, and I have had both those, the effect, whether or not you have a fever, normally there is a fever, is that you end up with a lack of oxygen.”
The death toll from the novel coronavirus in Australia now sits at 34.