Tasmanians will be required to wear face masks at both indoor and outdoor events with more than 1000 people in attendance from the start of next weekend.
Premier Peter Gutwein made the announcement on Friday, and said mask wearing in settings like these was "something we're going to have to get used to" given the risk of COVID transmission at larger events, should the virus enter Tasmania.
"I think it's a very sensible decision," he said.
Mr Gutwein also confirmed there would be no "conscientious" exemptions for mandatory vaccinations.
This week, Tasmanian Catholic Archbishop Julian Porteous had pushed for priests who work in aged care settings to be granted such an exemption, but this has been refused.
Vaccination rates ahead of schedule
Tasmania reached 64 per cent of its population with a first dose of the vaccination this week and 47 per cent with a second dose. These levels were expected by mid-September.
"We're actually a week in front of ourselves," Mr Gutwein said.
He said Tasmania was expected to reach 70 per cent first dose within a week, and 70 per cent fully vaccinated by mid-October.
"As long as people keep turning up, we should have reached our 80% fully vaccinated some time in late October or early November," he said.
"The clear message has to be, please keep turning up."
As of next week, Tasmanians aged 12 to 15 - about 20,000 children - will be able to receive a vaccination.
They will not be included in Tasmania's percentage targets, and their vaccination rates will be reported separately.