The former mayor of New York City has said there were people in the area celebrating when the World Trade Center towers fell on 11 September 2001.
But he said claims by Republican presidential candidate Donald Trump that thousands of people were involved was an exaggeration.
Rudy Giuliani, who was mayor at the time, told CNN that there were “pockets” of people celebrating.
Mr Trump’s comments had been hotly disputed because of a lack of evidence.
The mayor of Jersey City, which Mr Trump named, said no such thing happened and accused the Republican of “shameful politicising”.
But Mr Giuliani said the business billionaire was correct that there were celebrations in some areas.
“We did have some celebrations, there were pockets of celebration, some in Queens, some in Brooklyn,” he said.
He said in one specific report which was later proved to be true, owners of a sweet shop were celebrating and children from a nearby housing development “beat them up”.