Graham became Australia's first medallist of the 2018 Winter Olympics when he took silver behind the sport's undisputed leader, Mikael Kingsbury of Canada.
Beating the Quebecois was always going to be an ask - he is after all the most successful moguls skier of all time with 48 wins and six consecutive World Cup titles.
Last week Graham, 23, said he could win.
The world Number 3 was awarded 82.57 points in the medal round, 4.06 behind gold medallist and Canadian great Mikael Kingsbury who was second-last to make his final run.
Top seed Daichi Hara of Japan received bronze with 82.19 in the six-man final round.
"It's been such a long year, I just wanted to have fun and feel loose and be able to put it down where it counts," Graham said.