A spokesperson for the Metropolitan Police said the US President's comments, which did not correspond with any information released by the United Kingdom authorities, were "unhelpful".
He later added: "Loser terrorists must be dealt with in a much tougher manner".
Farage said he expects Trump's claim to be proven right.
"We need to be smart, vigilant and tough".
Moments after the news started spreading across the world, US President sent several tweets including one in which he advocated his travel ban and another which said that "those involved in the attack may have been recruited on the internet". 'These are sick and demented people who were in the sights of Scotland Yard.
A bucket wrapped in an insulated bag caught fire on a packed London subway train Friday, sending commuters stampeding in panic at the height of the morning rush hour. When seven people were killed in an attack on the London Bridge in June, Trump attacked London Mayor Sadiq Khan for saying there was "no reason to be alarmed".
The President did share highly classified intelligence about suspected IS plans, until then closely guarded among United States allies, with the Russian foreign minister during a meeting at the White House.
"The travel ban into the United States should be far larger, tougher and more specific - but stupidly, that would not be politically correct!"
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Mr. Trump also tweeted that his administration had already "made more progress" against the Islamic State than President Barack Obama's administration had in eight years.
This isn't the first time Trump has used terrorist attacks in London to call for his travel ban.
He tweeted, "Must be proactive & nasty!"
Donald Trump says that the internet must be "cut off" to stop further terror attacks.
He also tied his demand for a more robust travel ban to an unusual claim that Scotland Yard was familiar with Friday's bombers ahead of time and missed the chance to catch them before he launched the attack.
One of America's oldest and truest allies would appreciate it if Donald Trump would keep his opinions to himself.
The arguments will focus on the legality of the ban on travelers from six Muslim majority countries and any refugees.