Four Queensland tourists have been cautioned by Tasmania Police for breaching public health orders over the weekend after they attempted to enter the Cradle Mountain National Park.
Due to an outbreak of the Delta COVID-19 strain in Queensland, anyone who has arrived in the state from 11 local government areas on or after July 17 are required to stay at home except for limited reasons.
A 19-year-old woman from the south also received a warning from police for failing to comply with a public health order after she had been out on Hobart's waterfront on Saturday night.
Her breach was reported to police who followed up with her after the night.
Any person that does not comply with a public health order risks an on-the-spot fine of $774.
Inspector John Toohey said it was disappointing people had failed to comply with public health directions, however, most people had continued to do the right thing.
Premier Peter Gutwein on Monday said he was aware police were investigating other reports of stay-at-home order breaches.
"At the moment, we've had five cautions issued and that's not to say that police won't start issuing fines from this point onwards," he said.
"I would just say to people at the end of the day, don't be an idiot - do the right thing.
"We're trying to keep you safe and the community safe."
Public Health director Mark Veitch said when a case of coronavirus next occurred in Tasmania, it would almost certainly be the highly contagious Delta strain.
The Queensland Government on Monday decided to extend its residential lockdown in 11 local government areas until 4pm on Sunday.
Mr Gutwein said Tasmania would continue to mirror the restrictions in place in Queensland, meaning people who had recently been in Queensland would have to comply with stay-at-home orders until the lockdown ended.
Anybody in Queensland would be prevented from entering the state until that time unless they were an essential traveller, he said.
Mr Gutwein said anyone in Tasmania who had been in south-east Queensland from July 17 would need to spent 14 days at home or in appropriate accommodation and return a negative COVID test result to be freed from the public health order.
He said students subject to orders would be able to return to school after completing the required 14 days at home and after returning a negative test.
July 17 was the second last day of school holidays.
"We expect most students would have been returning back to the state then at the very latest," Mr Gutwein said.
Those required to stay at home can leave their premises for five key reasons: to shop for necessary goods and services, to access medical or health treatment, to take a COVID-19 test, for necessary work or school duties, or for exercise within a five-kilometre radius.
Masks must be worn outside the home.