Mr Trump says it looks like he will not have a 'good relationship' with Mr Cameron if elected as US president
David Cameron still believes Donald Trump's plan to temporarily ban Muslims from entering the US is "divisive, stupid and wrong", his spokesman has said.
It comes after the Republican presidential hopeful said the comments - made in the aftermath of the proposal being suggested last year - could harm relations between the pair.
Mr Trump told ITV's Good Morning Britain: "It looks like we are not going to have a very good relationship.
"Who knows, I hope to have a good relationship with him but he's not willing to address the problem either."
When asked whether Mr Cameron was concerned about Mr Trump's suggestion, a Downing Street spokesman said the British prime minister "has made his views on Donald Trump's comments very clear. He disagrees with them, and I haven't got anything further to add.
"He continues to believe that preventing Muslims from entering the US is divisive, stupid and wrong."
The spokesman added that the PM was "committed to maintaining the special relationship" whoever wins the presidential election in November.
"He has been clear that he will work with whoever is president of the United States."
Mr Trump also used the interview to criticise the newly-elected London Mayor, Sadiq Khan.
Mr Khan said on taking office earlier this month that Mr Trump was "ignorant" in his views on Islam and risked harming security on both sides of the Atlantic.
Mr Trump said: "He doesn't know me, hasn't met me, doesn't know what I'm all about.
"I think they were very rude statements and, frankly, tell him I will remember those statements. They are very nasty statements."
He added: "When he won I wished him well.
"Now, I don't care about him, I mean, it doesn't make any difference to me, let's see how he does, let's see if he's a good mayor."
Mr Trump, who is set to battle for the White House against Democrat Hillary Clinton, said he was offended by Mr Khan's remarks, but denied he was "at war" with him.
He said: "I just think it's very rude of him.
"In fact it's the opposite. I wished him well when I heard he won, he's a Muslim, I think it's ignorant for him to say that."
Mr Trump appeared to alter his call for a temporary ban on Muslims to the US after Mr Khan was sworn in, saying there would be "exceptions".
He said the policies he suggested on the campaign trail were just "suggestions", but said there was a "tremendous" problem with Islamic extremism.
Reacting to Mr Trump's interview, a spokesman for Mr Khan said: "Donald Trump's views are ignorant, divisive and dangerous - it's the politics of fear at its worst and will be rejected at the ballot box just as it was in London.
"Sadiq has spent his whole life fighting extremism, but Trump's remarks make that fight much harder for us all - it plays straight into the extremists' hands and makes both our countries less safe."