PUBLISHED: 00:46, Sat, Oct 3, 2020 | UPDATED: 01:18, Sat, Oct 3, 2020
One of Mr Trump’s close advisers, Hope Hicks, also tested positive for the virus on Friday before the president’s announcement.
President Trump has been flown to a military hospital after the White House confirmed he was feeling “lethargic”.
North Korean media reported that Mr Kim said: “I have come across unexpected news that you and your commander have been tested positive for the coronavirus."
The message continued: "I [send] consolation to you and your family.
Kim Jong-un has wished Donald Trump a speedy recovery after he tested positive for the coronavirus (Image: getty)
Donald Trump is believed to have been contacted by North Korea’s supreme leader on Friday (Image: getty)
"I sincerely wish you and your commander a complete recovery as soon as possible."
Mr Kim added: "You will surely get over it. Warm greetings to you and the commander."
Mr Trump announced the news of his positive coronavirus test on Twitter.
He wrote late on Thursday evening: "Tonight, @FLOTUS and I tested positive for COVID-19.
“We will begin our quarantine and recovery process immediately. We will get through this TOGETHER!"
READ MORE: Donald Trump rushed to hospital by helicopter over coronavirus
Donald Trump announced the news of his positive coronavirus test on Twitter (Image: Twitter/realDonaldTrump)