The dictator apparently managed to scale the 2,744m height while wearing smart black leather shoes.
A state media released read: “When Kim Jong-un ascended to the top of it, going through thick snow, it showed fine weather unprecedented in the blizzard of December winter, exposing its majestic figure.”
The press release went on to say that the unexpected weather came about because the mountain wanted to “give a warm welcome” to Kim Jong-un and “show joy at the appearance of the peerlessly illustrious commander who controls the nature”.
According to the Rodong Sinmun, the official state newspaper, Mr Kim “said that he had often climbed Mount Paektu but this is the first time to have in mid-winter such nice weather, rare to be seen even in spring.”
It says: “His eyes reflected the strong beams of the gifted great person seeing in the majestic spirit of Mount Paektu the appearance of a powerful socialist nation which dynamically advances full of vigour without vacillation at any raving dirty wind on the planet.”
North Korea’s state media also claimed two years ago that Mr Kim had climbed the mountain.
Fears of military confrontation between Kim’s corrupt regime and the US have risen over recent months, with tensions running high between the countries following a series of North Korean missile tests.