Tasmania's Liberal Premier Peter Gutwein says it's time for a national conversation about changing the date of Australia Day.
Thousands of people across the country attended Invasion Day rallies and protests on Tuesday to push for January 26 celebrations to be moved.
"It's obvious I think, it's time for a national conversation on the date," Mr Gutwein told ABC Radio on Wednesday.
"The fact of the rally in Hobart and also around the country. I think there should be a national conversation."
Mr Gutwein's Liberal colleague Prime Minister Scott Morrison believes Australia Day should not be shifted as it marks the date the nation changed forever.
"There is no escaping or cancelling that fact, for better or worse," he said during a keynote address at a flag-raising and citizenship ceremony in Canberra on Tuesday.
Organisers of an Invasion Day rally on the lawns of Hobart's parliament house hailed the attendance figure of several thousand as a record.
January 26 marks the raising of the Union Jack for the first time in 1788 after the First Fleet arrived in Botany Bay the week prior.
The 2021 Australian of the Year, Grace Tame, has voiced her support for moving Australia Day, but said Indigenous voices must be listened to on the issue.
Ms Tame, the first Tasmanian to win the award, has campaigned give a voice to survivors of sexual abuse after she was raped as a teenager by her school teacher.
Mr Gutwein described her acknowledgement as a "watershed moment".
