"He believed strongly that henceforth security must be collective and indivisible. That was why, for instance, that he insisted when faced with aggression by North Korea against the South in 1950, on bringing the issue to the United Nations.
He suggested adding new members to represent parts of the world with less of a voice.
He said the permanent members, the world powers, "must accept the special responsibility that comes with their privilege".
"The Security Council is not just another stage on which to act out national interests," he said.
During his two five-year terms as UN leader, Annan has tangled often with Bush's administration, particularly over the invasion of
He said: "More than ever, today, Americans, like the rest of humanity, need a functioning global system through which the world's peoples can face global challenges together. And in order to function, the system still cries out for far-sighted American leadership, in the Truman tradition."
Bush administration officials have argued that
Annan said: "None of our global institutions can accomplish much when the
A multilateral century
Truman, who ordered two atomic bombs dropped on
He said: "You Americans did so much, in the last century, to build an effective multilateral system, with the United Nations at its heart. Do you need it less today, and does it need you less, than 60 years ago?
"When power, especially military force, is used, the world will consider it legitimate only when convinced that it is being used for the right purpose, for broadly shared aims, in accordance with broadly accepted norms."
Annan said that the
"When it appears to abandon its own ideals and objectives, its friends abroad are naturally troubled and confused," he said in an apparent reference to charges of abuse at US prisons in
Annan hit out at
He said: "It is only through multilateral institutions that states can hold each other to account.
"And that makes it very important to organise those institutions in a fair and democratic way, giving the poor and the weak some influence over the actions of the rich and the strong."