Tasmania has recorded its second coronavirus death, an elderly man who was being cared for at the Royal Hobart Hospital.

Key points: There have been two coronavirus deaths in Tasmania — a woman in her 80s in Burnie and an elderly man in Hobart

There have been two coronavirus deaths in Tasmania — a woman in her 80s in Burnie and an elderly man in Hobart Both cases were linked to travel on the Ruby Princess cruise ship which docked in Sydney earlier this month

Both cases were linked to travel on the Ruby Princess cruise ship which docked in Sydney earlier this month Two other COVID-19 cases in Tasmania are still under investigation to confirm whether they were the result of community transmission or a known contact

Premier Peter Gutwein confirmed the death this morning, saying there was "a message in that for all of us".

"This virus is deadly, this virus will kill you," he said.

"Social distancing and abiding by the rules will save your life, it will save your family's lives, it will save lives in our community."

Yesterday, a woman in her 80s died at the North West Regional Hospital in Burnie.

Health Minister Sarah Courtney said both people had been passengers on the Ruby Princess cruise ship.

The Ruby Princess has been linked to hundreds of coronavirus cases.

The ship was at the centre of a stoush between the federal and NSW governments, after 2,700 passengers were allowed to disembark earlier this month despite several people onboard being tested for coronavirus.

Early on Tuesday evening authorities confirmed no new cases had been identified during the day.

There remain 69 confirmed COVID-19 cases in the state, including three that were confirmed late Monday night.

Ms Courtney said 10 people in the state have recovered and been cleared.

The national death toll is now at 19.

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Two coronavirus cases still being investigated

Sarah Courtney says 10 Tasmanians have now recovered from the virus. ( ABC News: Mitchell Woolnough )

Meanwhile, the source of two COVID-19 infections in Devonport in Tasmania's north are still under investigation.

Public health director Mark Veitch said the cases were of a woman in her 20s, for whom five contacts had been identified and quarantined, and a healthcare worker, for whom 17 contacts had been placed in quarantine.

He said authorities were still working to "trace back" to the source of the infections.

"We haven't identified a specific likely source of infection of these people to date," he said.

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"Both of them have had contact with people from overseas and interstate within Tasmania, so it's always possible infection was acquired from one of these sources rather than within the community."

Community transmission has not been identified in Tasmania to date and authorities said the outcome of the investigations would be known in the "next day or so".

Former top cop angry at quarantine conditions

New arrivals enter quarantine at a hotel near Hobart Airport. ( ABC News: Brian Tegg )

Former Tasmania Police assistant commissioner Glenn Frame has hit out at the State Government's use of hotels to quarantine new arrivals, saying he had been treated with "no respect and no humanity" after arriving in Tasmania on Monday.

As of midnight on Sunday, all non-essential travellers arriving from interstate or overseas are being taken by bus under police escort from the tarmac to a government-run quarantine facility for 14 days.

Glenn Frame is in quarantine in a Hobart hotel after flying in from Queensland. ( Supplied: Glenn Frame )

Mr Frame flew into the state on Monday and was taken to a hotel by bus.

He said he had been given little information and no way to contact government representatives to ask questions, before being confined to a small room.

Mr Frame said arrivals had been told they could not go out to exercise, and no-one had inquired about his welfare.

"To be honest, the way people have been treated being brought into this detention centre was nothing short of terrible really," he said.

"If you have to be here you have to be here, but you could be treated with humanity, dignity, some respect and some empathy.

"Unfortunately I haven't seen any of that yet."

Mr Frame said he had been in quarantine for two weeks in Queensland already, and had organised accommodation to isolate in Tasmania on his arrival.

"As much as anything I think it's just a lack of care for people that have done nothing wrong," he said.

Tasmania COVID-19 snapshot Confirmed cases: 226

Confirmed cases: 226 Deaths: 13, 12 in north-west What do I do if I think I have coronavirus? If you think you might have COVID-19 phone your GP or the Tasmanian Public Health Hotline on 1800 671 738. Need an interpreter? Phone the Translating and Interpreting Service on 131 450 and tell them your language. For more information and factsheets: Visit the Tasmanian Government's coronavirus page here.

"Trust the community to do the right thing. If they don't, punish them, but don't punish people who haven't done anything wrong."

In a statement the Premier said he made no apology for tough measures to protect Tasmanians' health and safety.

He said all arrivals received information before and after landing and people were on hand to assist with queries.

"We understand that individuals may be anxious during their time in quarantine and as such, a phone counselling service is available to provide individuals with the necessary support and assistance," Mr Gutwein said.

Since the rules came into affect, 90 rooms have been occupied in various hotels around the state.

The state has capacity to house 700 people in hotel quarantine.

New restrictions in place

As of midnight, Tasmania is policing new restrictions on public gatherings and movement.

For the next four weeks, people are required to stay at home unless they are shopping for essential supplies, exercising, attending a medical appointment, seeking veterinary services or providing support or care to another person.

Police are using random checks to ensure adherence to the new rules and are being backed up by the Australian Defence Force, the Tasmania Fire Service and the State Emergency Service.