It was the second consecutive award for Lassila, who set a new Olympic record in claiming aerial skiing gold and also jumped to a world record score on her way to a World Cup victory in Deer Valley in the lead-up to the Games.
It was the first time Bright had taken out the nation's top winter sports honour, after claiming Snowboard athlete of the year on three previous occasions.
Australia's third Vancouver medallist, mogul skier Dale Begg-Smith, collected the award for Outstanding Achievement of the Year.
The 25-year-old moguls skier not only skied to silver in Vancouver, but went on to win a record-equalling fourth World Cup title.
Ski & Snowboard Australia came away from Vancouver 2010 ranked eighth on the medal tally among the 100 national skiing federations who took part in the Games, ahead of such winter sports powerhouses as Russia, France, Italy and Finland.
SSA also joins Swimming Australia as the only national federation in this country to win gold at the past three Olympic Games, summer or winter.