The Daily Telegraph reported that the evidence comprises intercepted communications between members of bin Laden's al Qaeda network after the September 11 attacks, surveillance of known members and details of the so-called "money trail".
It is said to highlight that four of the 19 hijackers were trained by al Qaeda in Afghanistan.
The most detailed evidence has already been shared with Britain, Canada and Australia, America's closest English-speaking allies. New Zealand was given fewer details.
The Wellington briefing preceded a debate in Parliament which revealed cracks over the coalition Government's offer of SAS troops. The Alliance voted for a Green Party amendment calling on bin Laden and his associates to be tried by an international court.
In Brussels, US counter-terrorism coordinator Frank Taylor convinced Nato members that bin Laden masterminded the attacks.
And British Prime Minister Tony Blair, addressing his Labour Party conference, also fingered the Islamic militant and challenged the Taleban to "surrender the terrorists or surrender power, that is your choice".
But US President George W. Bush ruled out setting a deadline for Afghanistan to turn over bin Laden or face retaliation, saying the US would act at a time of its choosing.
He has also demanded that the Taleban close training camps used by bin Laden's al Qaeda network. US intelligence agencies have identified 23 militant bases and some Taleban military positions as targets, the Washington Post reported. The targets are likely to be attacked using satellite-guided bombs that can penetrate 7m of rock.
The Afghan ambassador to Pakistan, Mullah Abdul Salam Zaeef, pleaded for negotiations.
"All the Afghan people need food, need aid, need shelter - not war," he said.
Aid agencies are pessimistic about the prospects for millions of Afghans as winter approaches and the military strikes draw nearer.
Although tonnes of food are entering the country in a huge relief effort, the UN fears 400,000 people in two provinces could run out of food by the end of the week.
UN representative Eric Laroche said in Islamabad that hundreds of thousands of displaced children had no shelter.
"The graveyards around camps ... are full of small mounds of earth," he said.
As the country lurches towards chaos, Afghans in Pakistan say Taleban troops and military commanders are ready to change sides.
Sayed Ishaq Gilani, a supporter of efforts to bring back exiled King Zahir Shah, said: "People are mobilising. The commanders are meeting day and night. They are planning attacks on the Taleban."
But US Defence Secretary Donald Rumsfeld said he was not hopeful that the regime would collapse under pressure from internal opposition alone.
Rumsfeld left yesterday for Saudi Arabia, Oman, Egypt and Uzbekistan to shore up support for US-led military action.
Map: Opposing forces in the war against terror
Afghanistan facts and links
Full coverage: Terror in America
