The team announced Wednesday that Sutter has a fractured jaw, while Edler has a fractured fibula. No timeline for either player has been announced.
Sutter has had a rough season, his first with Vancouver. The 26-year-old was hit by a puck in Tuesday night's win over the Colorado Avalanche in what was just his fourth game back after missing the previous 33, having undergone sports hernia surgery on Dec. 2.
In all, he's played in just 20 games this year, scoring five goals and adding four assists.
Edler is the Canucks' highest scoring defenceman with 20 points in 52 games.