"Thousands of Australians like me want to celebrate Australia Day, just not on a day that's so painful for others", she told the Wednesday night meeting.
The motion passed 7-4 by Moreland council said it was not an appropriate date for a national celebration as it marked the beginning of the "British invasion of Aboriginal and Torres Strait Islander lands and oppression of the Aboriginal and Torres Strait Islander people".
A third local city council in Australia's second-largest city Melbourne has voted to abandon official Australia Day celebrations on January 26, claiming they are insensitive to Australia's Indigenous people.
Socialist Alliance councillor Sur Bolton said hosting ceremonies on that date was 'absolutely reprehensible to Aboriginal and Torres Strait Islander people.
"Moreland, Yarra and Darebin have communities that have shown a lot of support for changing the date".
"Australia Day is a recognition of our shared history and the Turnbull government, along with the vast majority of Australians, indigenous and non-indigenous, fully support Australia Day remaining on Jan 26".
But Greens councillor Samantha Ratnam said she was "proud of council for taking this step".
Apple Watch 3 or Apple Watch 2: everything you need to know
The new Apple Watch will be available on 22 September priced at £399 , while a non-cellular model will be made available for £329. The build-in cellular connectivity also allows the Apple Watch to stream songs in Apple Music without a connected device.
"Ratepayers of Moreland, who have not been consulted and who did not sign up to dumping Australia Day, have every right to feel ashamed and angered by this divisive move".
But not all councillors voted in favor of the change; councillor John Kavanagh said Australia Day could be "an opportunity with the Aboriginal welcome on that day for the oldest Australians to inform the newest Australians of the plight and the difficulties that day has for them and their history".
The Turnbull government last month stripped Yarra and Darebin councils of their right to host citizenship ceremonies after councillors voted to shift them away from January 26.
Media captionWhy is Australia Day controversial?
"On Australia Day, we recognise the greatness of our achievement as Australians", Mr Turnbull said.
After the council voted in favour of the motion, federal Greens Senator Rachel Siewert applauded the move, saying January 26 was "considered a day of grieving for many".
"But it's also about the fact that, as we've seen with other councils, councils have lost the right to hold all citizenship ceremonies by making this move, and so I think that it's become something that has been quite politicised".
- Pakistan Cricket Board plans to host World XI series for 3 years
- Rugby League convert Marika Koroibete named for Wallabies
- Star Wars 9: Release date for Episode IX has been delayed
- Stoke 2 Manchester United 2
- Ben Arfa réintégré vendredi — PSG
- Angela Merkel: Germany ready to play 'active role' in North Korea diplomacy
- IRMA: 4 dead from unrelated carbon monoxide poisoning
- Follow the premier's bribery trial testimony
- Bangladesh offers land to shelter swelling refugees
- The Top Five Moments From the 2018 Miss America Competition