Kim took a test ride on a ski lift at the Masik Pass Ski Resort, which he said during a visit two weeks ago was "at the centre of the world's attention", the Korean Central News Agency (KCNA) said.
He noted "with great satisfaction" that everything was "impeccable" and gave instructions to serve the people well so that visitors may "keenly feel the loving care of the party".
Kim, who was educated in Switzerland, told officials to hold the opening ceremony at the earliest possible date, KCNA said.
Kim was accompanied by top military leaders and, conspicuously, Pak Myong-Chol, a top sports official known to be associated with Kim's uncle who was executed this month.
Jang Song-Thaek, Kim's powerful political mentor, was put to death in a shock purge on charges including corruption and plotting to overthrow the state.
The purge was the biggest political upheaval since Kim, aged around 30, took power after the death of his father and longtime ruler, Kim Jong-Il, in December 2011.
Featuring 110 kilometres of multi-level ski runs, a hotel, heliport and cable cars, the resort has been heavily promoted since Kim visited it in June and called for construction to be completed by the end of the year.
The young leader has shown a fondness for expensive, high-profile leisure projects in and around the showpiece capital Pyongyang including a massive new water park, an amusement park and a luxury horseback riding club.
Kim in September also watched films at a new "4D" movie theatre built in the newly-renovated Rungna People's amusement park, state media reported earlier.
He was photographed riding a roller coaster in the Rungna amusement park in Pyongyang when it reopened in July 2012 after renovations ordered by Kim.