"Alex is a skilled, productive forward who has scored 30 goals in this league," said Chayka. "We're excited to add another elite young player to our core group moving forward."
The 24-year-old Galchenyuk registered 19-32-51 and 22 penalty minutes (PIM) in 82 games with Montreal in 2017-18. He finished second on the Canadiens in points and third in goals.
The 6-foot-1, 207-pound native of Milwaukee, WI has recorded two 50-point seasons including a career-high 30-26-56 with Montreal in 2015-16. He has totaled at least 44 points in four consecutive seasons.
Galchenyuk, who was originally drafted by the Canadiens in the first round (third overall) in the 2012 Entry Draft, has collected 108-147-255 in 418 career NHL games.
Domi recorded 9-36-45 and 73 PIM in 82 games with Arizona last season. He totaled 36-99-135 in 222 career games with the Coyotes.
"Max is a talented player and a good person," said Chayka. "Montreal will provide him with a fresh start. We wish him all the best in the future."
