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Counter-terrorism police in Australia have stopped a suspected plot to bring down an aeroplane, Prime Minister Malcolm Turnbull has said.

He was speaking after four people were arrested in raids across Sydney.

Investigators said they had seized materials in the raids that could have been used to make an improvised explosive device.

Mr Turnbull said the raids had been a "major joint counter-terrorism operation".

He said extra security was in place at domestic and international airports.

The raids took place in the Sydney suburbs of Surry Hills, Lakemba, Wiley Park and Punchbowl, Australian broadcaster ABC reported.

Australia's national terror threat level remains at "probable".

Australian Federal Police Commissioner Andrew Colvin said the four men arrested were allegedly linked to a Islamist-inspired plot.

"In recent days, law enforcement has become aware of information that suggested some people in Sydney were planning to commit a terrorist attack using an IED (improvised explosive device)," he told a news conference.

He said police did not yet have information on "the specific attack, the location, date or time", adding that he expected the investigation to be "long and protracted".

ABC reported that a woman in the Surry Hills area, who said her son and husband had been arrested, denied that they had any links to terrorism.

Timeline: Australia's terror threat

June 2017: In Melbourne, gunman Yacqub Khayre kills a man and holds a woman hostage during a siege at an apartment building. Three police officers are injured after Khayre engages them in a firefight. He is shot dead.

December 2016: A large police operation foils a terror plot to bomb landmarks in Melbourne on Christmas Day. Prime Minister Malcolm Turnbull describes the plan as an "Islamist terrorist plot".

September 2016: Police charge a 22-year-old man with committing a terrorist act and attempted murder in southwest Sydney. They say he was inspired by the Islamic State (IS) group. Officers say the attacker repeatedly stabbed a 59-year-old man in a suburban park and then tried to stab a policeman.

October 2015: Fifteen-year-old Farhad Jabar Khalil Mohammad shoots a civilian employee of the New South Wales Police dead before being killed by constables at the police headquarters in Parramatta, Sydney.

December 2014: Man Haron Monis, a self-styled cleric originally from Iran, takes 17 people hostage in a cafe in the centre of Sydney. Monis and two hostages are killed after a 16-hour siege. A psychiatrist later tells an inquest into the siege that Monis had a severe personality disorder that enabled him to inflict huge harm on others.