A National Trust spokesperson said due to the virus the organisation was developing a range of volunteer programs and activities that could be done from people's own homes.

"The National Trust thanks the community for its understanding of the need to make these decisions and thanks our colleagues in the heritage sector for their support," they said.

Coronavirus: All the latest updates on COVID-19 for Tasmania

"The greatest concern of the National Trust Tasmania during these difficult times is the welfare of visitors, valued members, volunteers and the wider community.

"The ongoing contribution and support from the community is much appreciated and more important than ever."

These sites will be temporarily closed:

However Launceston's Old Umbrella Shop will remain open to the public and Queenstown's Penghana will continue to operate as a bed and breakfast.

The trust has also cancelled the 2020 Heritage Festival and will postpone the Tasmanian Heritage Tourism Conference to a later date.

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The site closures are under constant review and updates will be provided accordingly.

The spokesperson said throughout the period when sites are closed to the public, the trust will continue to carry out basic maintenance works and, funding permitting, some major restoration works.