The 14th fatality of the Ruby Princess cruise ship has brought the national coronavirus death toll to 46.
An elderly Tasmanian man in his 80s became the third person from his state to die from the virus.
His death at the North West Regional Hospital came shortly after the first coronavirus-related death was recorded in South Australia.
SA Health confirmed the 75-year-old man, who contracted the virus from interstate, died in the Royal Adelaide Hospital on Monday night.
The Federal Government on Tuesday released details on its coronavirus modelling, with Chief Medical Officer Brendan Murphy saying social distancing and hygiene measures were succeeding in "flattening the curve".
"The early indications are positive, but we can't be complacent. We must not be complacent, we must hold the line," he said.
So far, 5795 people have been diagnosed with the coronavirus across Australia.
There were five deaths on Sunday and six deaths on Monday, including a sixth resident at the Dorothy Henderson Lodge aged care facility in Sydney and another passenger from the Ruby Princess cruise ship.
NSW remains the nation's leader in COVID-19 cases, reporting 2686 infections and 21 deaths as of Tuesday morning.
Six residents at the Dorothy Henderson Lodge aged care facility in Sydney have now died from COVID-19. Source: AAP
Giving an update on Tuesday morning, NSW Premier Gladys Berejiklian announced a $100 million package that will support healthcare workers throughout the pandemic.
"Those of us who are still exposed to a broad number of people worry about giving the virus to our loved ones, and I know that's especially the case for our health workers," Ms Berejiklian said.
"They want to protect their families, they want to protect their loved ones, and that's why we're offering free accommodation and free parking for our health workers so they don't have to worry about taking the disease home, and unintentionally passing it on to their loved ones."
The Premier said the package would also include $35 million for "vital research".
The Federal Government also announced it would resume publishing daily COVID-19 statistics for the first time in more than a month in a bid to give some hope to Australians.
The government said, as of Monday, 2432 people had already recovered from the virus, a cohort that makes up more than a third of all Australian cases.
The national cabinet met on Tuesday, with state and federal leaders announcing relief measures for commercial tenants and to discuss modelling of the spread of the coronavirus in Australia.
Prime Minister Scott Morrison confirmed that a mandatory code of conduct for commercial tenancies will be legislated across all states and territories.
Under the measures, small businesses shut down because of coronavirus will soon have their rent reduced in line with their revenue falls.
Prime Minister Morrison has also urged Australians to stay at home this Easter weekend and maintain social distancing measures.
He says a failure to do so "would completely undo everything we have achieved so far together".
"We have bought valuable time, but we cannot be complacent. We must keep tension in the chord."
People in Australia must stay at least 1.5 metres away from others and gatherings are limited to two people unless you are with your family or household.
If you believe you may have contracted the virus, call your doctor (don’t visit) or contact the national Coronavirus Health Information Hotline on 1800 020 080. If you are struggling to breathe or experiencing a medical emergency, call 000.
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