It's the second time Henrik Sedin has won the award (2016) and the third time it was awarded to a Canucks player (Trevor Linden, 1997).
"There are stories from visits we do with the team or without the team, personal stories, with a lot of sadness involved," Henrik Sedin said. "Those are tough ones to be a part of. It shows how important the work is that the NHL does around the league."
The Sedins retired from the NHL after 17 seasons with Vancouver.
"[Winning this award] is nothing we thought about when we made the decision to retire, but to be nominated and to win it now is pretty special," Henrik Sedin said. "We know it's the last time we're going to be here, so it's been fun to be around these couple days to see everyone for the last time."
Nashville Predators defenseman P.K Subban, 29, and Minnesota Wild forward Jason Zucker, 26, were the other finalists.
"There are only four nominees, but there are so many players who do so many good things throughout the NHL," Daniel Sedin said. "Not only the teams having to tell them to do stuff, most do things because they want to help out. We have a lot of players in Vancouver who do so many things quietly."