Anyone wanting to drink or socialise at a pub or club will need to show proof of vaccination.
Premier Peter Gutwein said Tasmania Police will be enforcing the new rule, and issuing on the spot fines of $778 to anyone flouting the rules.
Mr Gutwein said the rules would apply for pubs, nightclubs and any venue where you stand up to drink, as well as music festivals and any other large events.
He said they would not apply to restaurants.
"From Monday all Tasmanians wanting to enter a licensed venue where there is stand up drinking will need to be fully vaccinated," Mr Gutwein said.
"If it is a pub or nightclub, or a venue where you stand up and drink, you will need to be vaccinated to go in. The same will apply to music festivals."
Mr Gutwein said people must be able to show proof of their vaccination, with digital vaccination certificates either downloaded onto their phones, on Apple wallets, or hard copy.
"We have got broad vaccination coverage across our community but importantly, and especially for your younger cohort, we want to ensure you do get vaccinated as we move forward," Mr Gutwein said.
"You will need to show your proof of vaccinations and I would expect Tasmania Police will pay special attention to that."
He said owners and operators of licensed venues must have clear notice of the rules at their entrances.
"The owner or operator of licensed venues must make sure each person of the venue is notified that each person is required to be vaccinated ...the sign at the entrance, make certain it is visible so people understand the rules."
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