The petition to ban Donald Trump from the UK has become the most popular on the Government's website with almost 500,000 people signing up online.
The parliamentary website's poll quickly passed the 100,000-signature threshold to be considered for debate in Parliament and has now topped the previous record of 446,482.
The Republican presidential hopeful has drawn global condemnation after calling for Muslims to be banned from entering the US.
He also caused anger in Britain by claiming that parts of London are so "radicalised" that police fear for their lives.
Among those to condemn Mr Trump was the boxing legend Muhammad Ali, who issued a statement calling for people to "stand up to those who use Islam to advance their own personal agenda".
Ali's statement did not identify Mr Trump by name, but was directed at "presidential candidates proposing to ban Muslim immigration to the United States".
In a televised address on Sunday, President Obama called on Americans to reject discrimination, saying Muslim Americans are "our friends and our neighbours, our co-workers, our sports heroes".
But Mr Trump has remained defiant, telling the Fox News Channel that "people (are) coming into this country, (and) we have no idea who they are".
"You have tremendous hatred out there, and until we find out what's going on, and that's all I'm saying - I want this to be temporary.
"You saw many of my friends who are Muslims came out and they said, you know, we like Donald.
"I've gotten calls from Muslims at a high level, thanking me for bringing out this problem, because they know they have a real problem."
He also restated his claim that "they've got a lot of problems" in London with extremism among young people.
Prime Minister David Cameron has described Mr Trump's comments as "divisive, unhelpful and quite simply wrong".
London Mayor Boris Johnson said they rendered him "unfit to hold the office of the president of the United States".
Mr Trump has cancelled a planned trip to Israel after Prime Minister Benjamin Netanyahu denounced his comments on Muslims.
He had been expected to meet Mr Netanyahu on 28 December.