Chicago also receives a seventh-round pick at the 2021 NHL Draft. Montreal got a second- and a seventh-round pick in 2020 NHL Draft and a third-round pick in 2021.
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"People talk about Shaw, they talk about his intensity, his competitiveness," Blackhawks general manager Stan Bowman said. "But he does go to the net and scores a lot of his goals from in tight and gets a lot of shots around the net, and that's where you need to be if you want to score in today's game.
"[Net-front presence] is something we probably weren't as strong at last year as we had hoped. We did score a lot of highlight-type goals and a lot of transition goals. And I think Andrew can help us score some of the other goals you need if you're going to be competitive come playoff time, and that's getting in front of the net, staying there, second-chance opportunities, screens, those type of things."
Shaw, a 27-year-old forward, had 47 points (19 goals, 28 assists) in 63 games for the Canadiens this season. A fifth-round pick (No. 139) by the Blackhawks in 2011, he played his first five NHL seasons with Chicago before he was traded to Montreal on June 24, 2016. He won the Stanley Cup with the Blackhawks in 2013 and 2015.
Shaw has 233 points (111 goals, 122 assists) in 504 NHL games with the Canadiens and Blackhawks and 35 points (16 goals, 19 assists) in 72 Stanley Cup Playoff games.
"I've always thought about coming back, obviously," Shaw said. "It was home to me, I lived there for five amazing years, fell in love with my wife there, fell in love with the city, fell in love with hockey even more, so I'm glad to be back, glad to be a part of it again.
"I do think I've changed as a player. I think I've matured, I think I've gotten stronger, bigger, faster. And I'm still the type of player who likes to go to the dirty areas."
Shaw has three seasons left on a six-year contract he signed with the Canadiens on June 27, 2016.
"When we moved him three years ago, it was simply due to the salary cap," Bowman said. "It was nothing to do with Andrew as a player. We've always loved what he brought to the table and we're thrilled he's back.
"Our team was in a different state financially at that time, and the cap was $9 or $10 million lower as well. Now the fact that he's signed at that number is pretty attractive. You'll see what happens tomorrow, but it's going to be tough to get free agents to sign three years at 3.9 [million] and he's 27 years old. His contract, which was a challenge for us years ago, is actually quite attractive now."
NHL.com staff writer Tracey Myers contributed to this report
