The government will work with community groups affected by the cessation of public gatherings above 500 people, Premier Peter Gutwein said.
It will work with individual groups depending on their needs, he said.
"Obviously, we will not be immune from the economic cost of this," he said.
"We will work with those groups - it will be difficult for a range of organisations that rely on the cash flow that these events generate."
The federal government said on Friday that public gatherings of more than 500 people should not go ahead to stem the spread of coronavirus.
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The virus spreads through direct contact, in droplets when an infected person sneezes and coughs within a metre, and through droplets on surfaces.
Mr Gutwein said this was strong advice and not a ban.
"This is a sensible step to ensure that we provide a proportionate response to keep Tasmanians and Australians safe and that we limit the spread of this illness," he said.
"It is very clear advice, both to organisers of those events and to individuals.
"We would hope that Tasmanians would heed that advice, and that the organisers of those types of events and activities would reconsider those events."
On Tuesday, an announcement will be made about the state government's stimulus package which is aimed at keeping the economy going during the disruptive period caused by the coronavirus.
The is separate to the federal government's stimulus package which has already started to take effect.
"For those businesses that will receive payments directly through their Business Activity Statement, in terms of the nearly 190,000 Tasmanians that will receive a $750 payment whether they are a pensioner or some other card holder - those matters are already starting to be rolled out," Mr Gutwein said.
The Premier will participate in weekly National Cabinet meetings to coordinate virus mitigation strategies.