Mr Trump's comments on the van and knife attack which struck the capital on Saturday night are more considered than his tweets in the immediate aftermath, in which he said it was time to "stop being politically correct".
Speaking at a fund-raiser for the Ford's Theatre in Washington DC – where President Abraham Lincoln was shot – he said: "America sends our thoughts and prayers and our deepest sympathies to the victims of this evil slaughter and we renew our resolve, stronger than ever before, to protect the United States and its allies from a vile enemy that has waged war on innocent life, and it's gone on too long."
Trump was quick to respond on the latest London terror attack
The president has been criticised by London mayor Sadiq Khan after he accused the Labour politician of suggesting that people should not be "alarmed" by terror attacks on the capital.
In a series of tweets on Sunday after the London Bridge atrocity, he said:
"At least seven dead and 48 wounded in terror attack and Mayor of London says there is 'no reason to be alarmed!"'
But a spokesman for Mr Khan branded the comment "ill-informed" and said the president had deliberately taken out of context remarks made by the mayor to reassure people about the increased police presence in the wake of the attack.
London terror raids Sun, June 4, 2017
Police have raided a block of flats in Barking in connection with last night's London Bridge terror attack.
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As police continue their investigations following the June 3 terror attacks, a block of flats in Barking is raided for possible suspects
A spokesman for Mayor Khan later said: "He has more important things to do than respond to Donald Trump's ill-informed tweet that deliberately takes out of context his remarks urging Londoners not to be alarmed when they saw more police – including armed officers – on the streets."
And the senior US official in London on Sunday evening commended Mr Khan for his "strong leadership" in the wake of the attack.
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The US president's outspoken comments on Twitter stood in stark contrast to the messages of support and sympathy from leading figures from Britain and around the world – although he had earlier tweeted:
"Whatever the United States can do to help out in London and the U K, we will be there – WE ARE WITH YOU. GOD BLESS!"
'America sends our thoughts and prayers and our deepest sympathies to the victims,' Trump said
Messages came from German chancellor Angela Merkel, new French president Emmanuel Macron, Russian premier Vladimir Putin and Pope Francis, who offered prayers for the victims during a traditional
Sunday blessing following Mass at the Vatican.