Aho led the Hurricanes with an NHL career-high 83 points (30 goals, 53 assists) in 82 regular-season games last season and 12 points (five goals, seven assists) in 15 Stanley Cup Playoff games, helping Carolina advance to the Eastern Conference Final.
Selected by the Hurricanes in the second round (No. 35) in the 2015 NHL Draft, Aho has 197 points (83 goals, 114 assists) in 242 games.
"In tendering an offer sheet to Sebastian Aho on July 1, our objective was to add a talented young forward entering the prime of his career," Canadiens general manager Marc Bergevin said Monday. "With Carolina matching our offer, we wish Sebastian and the Hurricanes all the best."