Sikorski’s medal is the first for Poland in the Paralympics, which started in South Korea on Friday.
Gold in Wednesdays giant slalom competition went to Norway’s Jesper Pedersen and silver to America’s Tyler Walker.
Sikorski, 28, who 11 years ago broke his spine in a fall, was among Poland’s medal hopes in the Games.
The Paralympics run until Sunday. Medals are up for grabs in six disciplines: Alpine skiing, cross-country skiing, snowboarding, biathlon, hockey, and wheelchair curling. Poles are competing in the first four disciplines.
Polish officials have said they are eyeing two medals.
Poland has won 45 medals in total in Paralympic Winter Games: 11 golds, six silvers and 28 bronzes.
At the last winter Paralympics in Sochi, Russia, Poles failed to come away with any medals.