Galchenyuk, a 24-year-old forward, had 51 points (19 goals, 32 assists) in 82 games with the Canadiens this season. He has two seasons remaining on a three-year contract that runs through the 2019-20 season.

“Alex is a skilled, productive forward who has scored 30 goals in this league,” Coyotes general manager John Chayka said. “We’re excited to add another elite young player to our core group moving forward.”

Selected by Montreal in the first round (No. 3) in the 2012 NHL Draft, Galchenyuk has 255 points (108 goals, 147 assists) in 418 regular-season games and has 13 points (four goals, nine assists) in 28 games in the Stanley Cup Playoffs.

Domi, a 23-year-old forward, had 45 points (nine goals, 36 assists) in 82 games with the Coyotes this season and can become a restricted free agent July 1.

“Max is a talented player and a good person,” Chayka said. “Montreal will provide him with a fresh start. We wish him all the best in the future.”

Selected by Arizona in the first round (No. 12) of the 2013 NHL Draft, Domi has 135 points (36 goals, 99 assists) in 222 regular-season games.

He had 52 points (18 goals, 34 assists) in 81 games as a rookie in 2015-16 and finished sixth in Calder Trophy voting.