People entering Tasmania will be required to give their details to the state government, which is tightening measures to combat the spread of coronavirus.
All RSL-run Anzac Day commemorations have also been cancelled on the Apple Isle, where seven COVID-19 cases have been confirmed.
From Tuesday, international and domestic travellers entering the state will have to fill out a mandatory 'arrival card'.
"(It is) so that we can keep in touch with you, importantly provide you with advice should you require it," Premier Peter Gutwein said on Monday.
Posters, signs and brochures will be placed at all state entry points to provide travellers with coronavirus information.
Tasmania has joined NSW and WA in pulling the pin on April 25 Anzac Day services and marches after the federal government banned gatherings of 500 people or more.
RSL State President Robert Dick said it was a tough call but public wellbeing and the safety of vulnerable members was the priority.
"The consequences could be devastating and we don't want to put people in that position," he told AAP.
"We're asking people in their own private way to pay respects to our serving and ex-service members."
Tasmania's parliament, to sit this week from Tuesday, and courts will continue to operate but social distancing measures will be put in place.
"Obviously sitting next to each other in parliament creates some challenges," Mr Gutwein said.
"It's important those functions of government and business ... that they do continue through this period."
Mr Gutwein said the first wave of a state stimulus package will be announced on Tuesday.
The state government has advised schools to cancel assemblies, excursions, travel, some events and conferences but school closures are not necessary, based on their medical advice.
Launceston's Scotch Oakburn College has shut its doors and switched to online learning.
Cricket Tasmania has postponed its annual awards dinner, while the Labor opposition has cancelled community forums.
Hobart's popular weekend Salamanca Market should be able to continue, Mr Gutwein said, despite the federal government's mass gathering ban.
The island state on Sunday night recorded its seventh virus case, a woman in her 50s.
The woman, who is in a stable condition, had close contact aboard a privately chartered yacht with another person who returned a positive test.
Of the state's six previous coronavirus cases, five are stable in isolation while one has been released from hospital.
About 90 people in Tasmania are in self-isolation. There has been no evidence of person-to-person transmission in the state.