And Friday, the president told Fox & Friends, "He's the head of a country - and I mean he's the strong head".
"He speaks and his people sit up at attention", the President added.
US President Donald Trump spoke in admiring terms about North Korean leader Kim Jong-un, praising Kim's ability to get his people to "sit up at attention", and wishing he could do the same.
"I find that question insulting and ridiculous and, frankly, ludicrous, " Pompeo said in Seoul, where he was seeking to reassure US ally South Korea about Trump's negotiation, including a surprise halt to joint military exercises involving the USA and South Korea.
The results of the Singapore meeting, at which Kim and Trump signed a pledge "to work towards complete denuclearisation of the Korean Peninsula", have been greeted with scepticism by many observers. "I don't want to see a nuclear weapon destroy you and your family".
Trump also said on Friday that he would be willing to invite the North Korean president to the United States.
"We're here now", the president said, according to The Post.
In a video message released later by the White House, Trump said Tuesday's summit with the young North Korean leader in Singapore was "open, direct and very, very productive".
Trump reportedly had to be talked out of changing the summit date by Secretary of State Mike Pompeo and White House press secretary Sarah Huckabee Sanders for fear the entire meeting would be in jeopardy. "I gave him credibility".
"You are about to see something on the Fox News that has never happened, we believe, in the history of White House reporting", reporter Steve Doocy said live on air.
And Trump, who declared on Twitter that North Korea is "no longer" a nuclear threat following the summit, told reporters he has "solved that problem".
But experts, many of whom remain skeptical Kim will give up his nuclear program, have expressed concern that Trump conceded too much. "Yeah, I would have him". Yeah, I think it is something that could happen. "Don't let anyone think anything different", Trump continued.
South Korea's Presidential Office of Cheong Wa Dae has welcomed Trump's potential phone call with Kim, . saying it would be a major step forward.
"If you don't agree to meet, you know what you will have? I want my people to do the same".