Premier Peter Gutwein has declared a state of emergency in Tasmania.
This means the government will activate the State Control Centre, headed by Police Commissioner Darren Hine in liaison with with the director of Public Health, to manage a whole-of-government response to the coronavirus pandemic.
The Commissioner will be able to take resources from different departments and use powers under the Emergency Management Act.
Mr Gutwein also announced as of midnight on Friday March 20 all non-essential travellers arriving in Tasmania will have to self-isolate for 14 days.
"This will be the strongest border measures in the country in terms of the states and territories," Mr Gutwein said.
"This is a tough, but necessary decision to flatten the curve, putting Tasmanians' health and wellbeing first."
Mr Gutwein said the measures will be in place "as long as they are needed."
Essential travellers will include people such as health care workers, emergency workers, defence personnel, air and ship crew, specialists and essential freight personnel.
There will be exemptions on compassionate grounds which will be dealt with on a case-by-case basis.
The restrictions do not apply to Tasmanian residents on King and Flinders Islands flying into mainland Tasmania.
For more information on the new measures visit Public Health's coronavirus website here.
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Public Health director Mark Veitch said exemptions would be finalised over the coming days.
"There's no current evidence of community transmission of COVID-19 in Tasmania. The aim of this is to delay local transmission," Dr Veitch said.
Mr Gutwein said he wanted to make it clear there would be penalties for people who did not self-isolate.
Penalties include a fine up to $16,800, a term of imprisonment up to six months or both.
"We expect people to abide by the law," Mr Gutwein said.
"Tasmanians can leave the state but after midnight on Friday night, should they return, they will need to go into a period of quarantine if they are not an essential traveller.
"We know for some it will create disruption [and] we would ask people to work with us as these measures are implemented."
Mr Gutwein said schools would remain open.
In Tasmania there have been 10 confirmed cases of the virus, all of which are related to overseas travel.