Four people were injured, including two women hospitalised with head injuries, they said.
Ambulance Victoria said paramedics transported one woman in her 30s to The Alfred hospital with upper body injuries, and she was in a stable condition.
Neo-Nazi Thomas Sewell, from the National Socialist Network, goads people at Camp Sovereignty.
Victoria Police said a woman and a man were given medical assistance at the scene.
Camp Sovereignty is a sacred burial site and community healing space on the grounds of Kings Domain Resting Place. The area is believed to have been a gathering place for First Nations people for tens of thousands of years, and in 1985, it became a burial ground for the remains of 38 Indigenous people who were repatriated by Museums of Victoria.
Keiran Stewart-Assheton, co-founder of Camp Sovereignty and spokesperson for the Black Peoples Union, said the attack on a peace camp exposed Australia as a fascist colony.
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“But our sovereignty cannot be broken — we remain armed with truth, culture, and community, and that is far stronger than their hate.”
Independent Victorian senator Lidia Thorpe, a Gunnai, Gunditjmara and Djab Wurring woman, said the attack must be investigated as a neo-Nazi hate crime.
“Nazis have no place in this country,” she wrote on social media site X. “Always was, always will be Aboriginal land.”
Deputy Premier Ben Carroll said he was appalled to see the attack on Camp Sovereignty and that the community should always stand up against self-declared neo-Nazis.
“I was appalled to see the attack on Camp Sovereignty and equally appalled to see the Aboriginal flag burned. It just goes to show the level of ignorance that we’re dealing with that people that attend a march against immigration would then go and attack a camp and destroy a flag of the first inhabitants of our country,” Carroll told reporters on Monday.
Neo-Nazi leader Thomas Sewell speaking at the March for Australia rally in Melbourne on Sunday.Credit: Michael Bachelard
“Do these people even understand the definition of Indigenous?”
Victorian Greens leader Ellen Sandell said far-right extremists storming Camp Sovereignty was deeply disturbing.
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“Far-right extremism has been on the rise for years, preying on and radicalising young men online,” Sandell said. “Now is the time for real, long-term investment to tackle far-right extremism at its roots.”
A Victoria Police spokeswoman said detectives from the Melbourne Crime Investigation Unit were investigating the affray.
“It is understood a group was gathered in parkland off St Kilda Road about 5pm when they were approached by a second group,” she said.
“Officers have been told the second group formed a line in front of the first group, before assaulting various members of the first group with sticks and flag poles.”
Anyone who witnessed the incident, with CCTV/dashcam footage or with information is urged to contact Crime Stoppers on 1800 333 000 or submit an online confidential report at www.crimestoppersvic.com.au.