An elderly man died in the Royal Hobart Hospital on Monday night due to illness related to coronavirus, Premier Peter Gutwein has confirmed.
This is the second death to the virus in Tasmania after an elderly woman died in the North-West Regional Hospital on Monday morning.
"This is two deaths in Tasmania - two deaths too many," Mr Gutwein said at a briefing to media on Tuesday morning.
New household isolation rules came into effect after midnight.
Tasmanians will be required to stay at home for the next four weeks unless they needed to go to work, school, collect essential supplies,attend medical appointments or visit somebody on compassionate grounds.
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Mr Gutwein said essential supplies were categorised as food, pharmaceutical goods and items needed for home maintenance or repair.
He said people who had a secondary property would still be able to visit it for security or maintenance reasons but would not be able to split their time between that property and their primary residence.
Mr Gutwein said people could still exercise and undertake recreational activities like fishing so long as no more than two people were involved.
He said care arrangements for children who have parents at different properties would not be altered.
More details on home isolation requirements will be released today.
There have been 69 cases of coronavirus identified in Tasmania with a further case on the North-West Coast and two more cases in the South confirmed on Monday night.