"The federation, join the pain of his loved ones in these particularly hard times", the French skiing federation said in a statement.
Other high-level skiers have joined the voices expressing shock at the incident, with British Olympian Chemmy Alcott notably tweeting that she "can't believe the tragic news", adding that he was "a great guy who was always either "charging" or smiling".
"Unfortunately, a awful incident has occurred", said Matt Mosteller.
French Olympic downhill skier David Poisson died Monday during a training accident at a Canadian resort, the French skiing federation said.
"Our thoughts and prayers go out to his family, friends, teammates and fans at this hard time".
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The French alpine ski team has been training at Nakiska ahead of the World Cup season, which is set to begin later in November at Alberta's Lake Louise Ski Resort.
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.
Poisson, 35, placed seventh overall in downhill skiing during the 2010 Vancouver Games and 16th during the 2014 Games in Sochi, Russia, after joining the World Cup tour 13 years ago.
Poisson took bronze in the 2013 World Championships in Schladming in Austria, making his first podium.