China chose the silk jackets for the leaders to wear
It is the first major political statement in the 12-year history of the Asia-Pacific Economic Co-operation group (Apec), a body normally dedicated to trade.
In their final statement at the end of two days of talks in Shanghai, the leaders said terrorist acts were a profound threat to the peace, prosperity and security of all people, of all faiths, of all nations.
The declaration, read by Chinese President Jiang Zemin, continued: "Terrorism is also a direct challenge to Apec's vision of free, open and prosperous economies."
But there was no direct mention of Afghanistan or Osama Bin Laden in the statement, which the BBC's Adam Brookes in Shanghai says highlights the discomfort felt by mainly-Muslim Malaysia and Indonesia over the US attacks on the country.
The statement urges all governments to prevent and suppress all forms of terrorist acts in the future.
And it calls on member countries to move to prevent the flow of funds to terrorists.
On economic matters, the leaders also said they were committed to maintaining public confidence by fighting protectionism and launching a new round of talks to tear down barriers to global commerce.
They also committed themselves to speed up the progress of achieving free trade among developed members by 2010 and for developing countries 10 years later.
Bush plea
On Saturday, President George W Bush urged Apec to unite against terrorism, promising that the 11 September attacks would not stop the building of free markets and free trade around the world.
Mr Bush said the war on terrorism was "a fight to save the civilised world, and values common to the West, to Asia, to Islam".
He is due to hold talks with President Putin on Sunday.
Both the Russian and Chinese presidents have called for the US-led campaign in Afghanistan to move rapidly to a political solution.
Mr Putin was the first world leader to telephone Mr Bush on the day of the attacks to offer his condolences - the first move in a rapidly developing new alliance between the two former Cold War foes.
President Bush has used the Apec summit to reach out to regional leaders to boost support for the coalition against terrorism.
On Saturday, he assured Malaysian Prime Minister Mahathir Mohamad, one of the most outspoken critics of the attacks on Afghanistan, that the United States was trying to be "as careful as we possibly could" to avoid civilian casualties in Afghanistan.