The former Mayor, who now runs Giuliani Partners, a security consultancy and investment bank, said that New Yorkers would be full of sympathy for Londoners caught in today's violence.
"We feel a tremendous empathy with them. I think every New Yorker would join me in saying we feel we very much understand what you are going through," he said.
"This is a difficult time, but the people of London have responded in the exactly right way, with bravery and by moving forward. The emergency services people appear to have responded as if they have been very, very well trained and as if they were expecting attacks, they seem to be prepared for it."
"In a strange way a lot of our response to September 11 was modelling ourselves as much as we could on the people of London during the Second World War and the incredible way they withstood the attacks during the battle of Britain."
Mr Giuliani said the apparently "resolved and determined response" to the attacks had undermined this morning's attempt to induce panic in London today.
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