Pro-Palestinian events will go ahead in Sydney this weekend even if they are prohibited by the NSW Supreme Court, organisers say. 

Prime Minister Anthony Albanese on Wednesday supported NSW Police's push to stop the two events, saying there was no place in the country "for the waving of terrorist symbols".

Josh Lees from the Palestine Action Group, which is organising the events, said they would go ahead "regardless of what happens". 

"If we need to we will fight this in court, and we are confident actually that we would win in court," he said. 

"Even if we were to lose that case, we would go ahead with our protest."

The Palestine Action Group has held 51 consecutive weeks of protest action with limited police intervention in Sydney.  

One protest has been scheduled for Sunday, October 6, while a vigil has been planned for Monday, October 7 — on the one-year anniversary of Hamas' armed incursion into southern Israel. 

Mr Lees confirmed the vigil would also go ahead regardless of a court order. 

"It's outrageous that the authorities would attempt to ban people's right to grieve for their loved ones and family members who have been killed, 42,000 of them in Gaza, nearly 2,000 in Lebanon now," he said. 

Last Sunday, more than 30,000 people marched through Sydney calling for a ceasefire to the conflicts in Gaza and Lebanon last Sunday.

NSW Police are investigating the rally after attendees were allegedly seen holding Hezbollah flags and pictures of Hezbollah secretary-general Hassan Nasrallah, who was killed in an Israeli strike in Beirut last Friday.

A 19-year-old woman has been arrested after handing herself in at Kogarah Police Station following a public appeal for information into what police are calling a "public order incident" relating to the display of a prohibited symbol. 

NSW Police have decided to apply to the state's Supreme Court to prohibit both upcoming events. 

'We need to promote social cohesion'

The prime minister told ABC Radio Melbourne that the police's stance was an "absolutely reasonable position for them to take".

"And the fact that the symbol - the flag that is being raised and waved around - has a gun at its centre should be a bit of an indication that it's a violent symbol."

Mr Albanese said he was "incredibly worried about social cohesion".

"We shouldn't bring conflict here," he said.

The prime minister said a demonstration on October 7 "would be seen as incredibly provocative".

"It would not advance any cause, it would cause a great deal of stress," he said.

"We need to promote social cohesion in our multicultural nation."

NSW Premier Chris Minns said the state government also backed the decision by NSW Police.

"It's our responsibility to work together to ensure we keep this cohesive, harmonious, safe community that we have in New South Wales," he said.

"Police have made this decision about the Form 1 in line with crowd management and safety.

"We fully support the decision. Our priority must be community safety."

The NSW police commissioner has no specific powers to stop a public assembly from occurring in the state.

Federal Opposition Leader Peter Dutton credited Mr Minns with showing leadership in regards to the protests, and said he hoped Victoria would follow suit.

"At a state and federal level, the government should be doing everything they can to stop these protests from taking place," he said.

Protest organisers intend to 'fight for our right to protest'

NSW Police said they had "conducted negotiations" with organisers from the Palestine Action Group, but were not satisfied that "the protest can proceed safely".

Mr Lees said they weren't officially notified of the decision last night and were in talks with police over the location of the protest.

"They gave no indication, they still haven't contacted us, we are hearing about it through the media," he said. 

Alex Ryvchin, the co-chief executive officer of the Executive Council of Australian Jewry, said to hold a planned vigil on October 7 was "shameful" and "beyond the pale".

"I appeal to these protesters, show a shred of dignity, of humility, of shame," he said.

"Let the good and decent people of this city mourn and reflect and commemorate on that day. And if these protesters won't listen, the laws should be enforced and the police should act to bring harmony back to our society."

Protest to go ahead in Melbourne

A pro-Palestinian protest has also been organised for Melbourne this Sunday.

Victoria Police will be present at the rally.

"Our top priority will be keeping the peace and ensuring the safety of those attending and the broader community," Victoria Police said.

"Victoria Police respects the right for peaceful protest however any unlawful behaviour will not be tolerated."

Victoria Police does not have the power to deny a protest from occurring, so long as it is lawful.

Unlike NSW, there is no permit system for protests in Victoria.