NSW Health figures show the cumulative number of positive tests in the region at 8pm on Wednesday was 270, down from 276 the previous day.

Six cases previously attributed to the health district have been removed from the tally because subsequent screening showed they were not positive tests.

The HNEH district has added 22 cases in the past eight days, an average of fewer than three per day.

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HNEH public health physician David Durrheim described the result as "very encouraging".

"What's more encouraging is what we see when we look at Australia's performance at the moment," he said.

"Where Australia was on a sharp trajectory with the doubling time every three-and-a-half days, that has now slowed to about every six days."

Australia added just 44 new cases on Tuesday, but Dr Durrheim said the lesson of Singapore showed "we can't, however, afford to relax".

Singapore's infection rate was negligible in mid-March but has climbed rapidly since then to a record 386 new cases on Monday and 334 on Tuesday.

More than 3000 people have tested positive in the island city state.

Singapore was once a poster child for how to deal with the pandemic, but its recent spike in cases suggests it might have eased restrictions too soon.

"We know that other countries that have done well in the beginning, like Singapore, took their foot off the pedal, they relaxed their controls, and now we see Singapore's trajectory is heading skywards," Dr Durrheim said.

Three Hunter people have died of COVID-19 complications, a 69-year-old man and a 74-year-old woman in John Hunter Hospital and a 76-year-old man in Westmead Hospital.

The two people in their 70s were both passengers on the Ruby Princess cruise ship.

NSW had 11 new cases in the 24 hours to 8pm on Wednesday night.

The death toll in NSW remains at 26 and the national toll 63.

Meanwhile, police have issued more fines across the Hunter after people failed to adhere to COVID-19 restrictions.

A 24-year-old man was fined $1000 after he told police he was aware of the stay-at-home rules but was out because he was sick of being at home.

Police found him at Broadmeadow train station about 1.30pm on Tuesday.

Two men, aged 40 and 47, were fined at Raymond Terrace after they ignored a warning from police to go home on Sunday, according to the latest list of statewide fines issued on Wednesday.

Police said the pair were in a car and did not have a reasonable excuse for being out in public.

Police have issued 66 court attendance notices and 560 on-the-spot fines across NSW for breaches of the Public Health Act since March 17.