Three of the eight men charged after last week's counter-terrorism raids in NSW were also stopped near Sydney's Lucas Heights nuclear reactor in December 2004, the document says.
An access lock for a gate to a reservoir of the reactor had recently been cut, and the three gave different versions of the day's events to police, it says.
The men were also allegedly stockpiling hundreds of litres of chemicals used to manufacture a highly volatile explosive called TATP.
The police fact sheet relating to the eight, tendered to Sydney's Central Local Court last Friday, was released to the media for the first time.
Jihad training camp
It said six of the men attended at least one of two training camps held in NSW's far west in early 2005.
The camps were held at two different properties near Bourke, in March and April this year.
Police allege the so-called camping and hunting camps were used for jihad training.
"Police allege that these camping and hunting trips are part of the jihad training being undertaken by this group," the 20-page police fact sheet said.
"These trips are consistent with the usual modus operandi of terrorists prior to attacks."
The six men alleged to have attended the training camps were Khaled Sharrouf, Khaled Sheikho, Mohammed (Mohammed) Elomar, Moustafa Cheikho, Abdul Rakid Hasan and Mazen Touma.
They and two others, Mirsad Mulahalilovic and Omar Baladjam, are charged with conspiring to manufacture explosives in preparation for a terrorist act.
Lucas Heights
The document says Touma, Elomar and Hasan were stopped in their
car by NSW police near the Lucas Heights reactor, in Sydney's
south, in December 2004.
The men also had a trail bike and claimed they were there to ride it, the document said.
But, according to the fact sheet, when interviewed separately by police, all three gave different versions of the day's events.
"Police inquiries revealed the access lock for a gate to a reservoir of the reactor had recently been cut," the fact sheet said.
Melbourne link
It is alleged the eight Sydney men have links to nine others arrested in Melbourne in last week's coordinated counter-terrorism raids.
Nine Melbourne men are charged with being a member of a terrorist organisation.
A tenth man, from Melbourne, has been extradited to face a court in Melbourne, after being arrested in Sydney late last week.