Poisson, 35, won the bronze medal in the downhill at the world championships in 2013.
Kelly VanderBeek, a former member of Canada's Olympic alpine ski team, said she was "in shock" at news of Poisson's death.
The French Skiing Federation (La Fédération Française de Ski (FFS)) confirmed Poisson's death, adding that it was "devastated by the news", and that "the federation joins the pain of his loved ones in these particularly hard times".More news: Mad Max's George Miller Is Taking Warner Bros. to Court
"Unfortunately, a frightful incident has occurred", said Matt Mosteller.
A French Skiing Federation press release said: "David Poisson, 35, member of the French Alpine Ski Team, World Championship medallist in 2013, died accidentally following a fall during training at the Canadian Nakiska station".
"Our thoughts and prayers go out to his family, friends, teammates and fans at this hard time".More news: GI tag says West Bengal is where the 'rosogolla' originated
Poisson was training with team-mates ahead of World Cup events at Lake Louise on November 25 and 26.
He had seen some success in previous Winter Olympics, coming seventh in one event in 2010, and 16th in 2014.
A spokesperson for Nakiska told Metro athletes often train at the ski resort during the week and the area was closed to the public when the accident happened.More news: PM Modi, Australia PM Turnbull hold bilateral meeting — ASEAN Summit
Poisson, a bronze medallist at the 2013 World Championships, passed away after a crash in the resort of Nakiska.
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