Wise topped the podium by executing a fantastic run that was awarded a score of 92.00, and one that was made all the more difficult by heavy snowfall at Rosa Khutor Extreme Park.
It affected all the riders and although the 23-year-old fell heavily in his second run in the final, his opening score proved more than enough, with Canadian Mike Riddle (90.60) earning silver and Kevin Rolland of France (88.60) settling for bronze.
Wise was the pre-event favourite after his exploits in winning last year's World Championship as well as the last three X Games on the bounce in the superpipe discipline.
And while he finished second behind Canadian Justin Dorey earlier in the qualifying heats, the American saved his best for the showpiece event.
Dorey, by contrast, crashed on both occasions and placed last.
The dangers of the sport were highlighted throughout the qualifiers and the final, with several riders suffering particularly heavy falls.
Lyman Currier appeared to come off the worst on Tuesday after landing awkwardly before lying on the ground clutching his knee.
While the American was able to limp his way to the scoring area - with his pain visible for all to see - he needed help to be escorted away from the venue and it remains to be seen how serious his condition is.