Outrage as Trump targets London mayor after attacks
"Some people thrive on feud and division. We are not going to let Donald Trump divide our communities," Khan told the BBC.
He also told Sky News: "I just haven't got time to respond to tweets from Donald Trump.
"Honestly I've got better and more important things to focus on."
Trump accused Khan -- London's first Muslim mayor -- of offering a "pathetic excuse" for comments that the US president earlier misconstrued about policing in response to Saturday's attack, which left seven people dead.
Khan had told Londoners there was "no reason to be alarmed" about an increased police presence in the coming days.
Trump has leapt on the London attacks as evidence of the need for hardline security measures in the United States, including a ban on travellers from some Muslim countries. His comments caused outrage among British officials.
Pakistani born British citizen named as one of the London attackers
British Prime Minister Theresa May was among those who came to Khan's defence, though she declined to criticise Trump over the row.
"I think Sadiq Khan is doing a good job and it's wrong to say anything else -- he's doing a good job," she told a press conference on Monday.
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