Trump also linked Friday's attack to his controversial travel ban, tweeting that he would be looking to intensify the ban on travel to the United States. Trump said on Twitter.
"Another attack in London by a loser terrorist", Trump added.
"Loser terrorists must be dealt with in a much tougher manner.The internet is their main recruitment tool which we must cut off & use better!" he continued. "We have to be tougher and we have to be smarter".
"The police and the security services are doing the work necessary to discover the full circumstances of this cowardly attack that's taken place, and to identify all those who are responsible", she said.
Sadiq Khan, the Muslim mayor of London, said that his city "utterly condemns the ugly individuals who attempt to use terror to harm us and destroy our way of life".
Earlier this year, in May, U.S. officials angered British authorities, when details about a deadly bomb attack at the Ariana Grande concert in Manchester were leaked to the U.S. media.
"It's a awful thing", he said of the London attack.
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On Twitter, he advocated for a "far larger, tougher and more specific" travel ban, adding, "but stupidly, that would not be politically correct!"
The President did share highly classified intelligence about suspected IS plans, until then closely guarded among USA allies, with the Russian foreign minister during a meeting at the White House.
Meanwhile, weighing in on the comments, former Conservative lawmaker Ben Howlett, called Trump's tweets "dangerous and inappropriate".
He also renewed a call to shut down internet capabilities, a claim he had made during his presidential campaign in 2015.
"The attack was meant to cause significant harm, and 22 people have been injured and are being treated in hospital", May said while speaking to media.
The version of the ban permitted by the Supreme Court is Trump's second pass at the policy, which originally banned residents of seven Muslim-majority countries. "We need the Travel Ban as an extra level of safety!" he tweeted.
The 90-day ban on travelers from Iran, Libya, Somalia, Sudan, Syria and Yemen expires later this month, with the 120-day refugee ban coming up in October.
Travel ban should be 'far larger, tougher and more specific'
Speaking with CNN , a police spokesperson called Trump's comments "pure speculation", adding that "any speculation is unhelpful". Earlier Friday, Trump posted several tweets about both the terror attack and the ongoing efforts to thwart terrorism.