Domi, acquired in a trade with the Arizona Coyotes for forward Alex Galchenyuk on June 15, led the Canadiens and set a personal NHL best with 72 points (28 goals, 44 assists).
Also reaching personal NHL highs were forward Brendan Gallagher, who led the Canadiens with 33 goals, two more than his previous high last season, and forward Tomas Tatar, who had 58 points (25 goals, 33 assists) after being acquired from the Vegas Golden Knights as part of the Max Pacioretty trade Sept. 9.
Montreal will need to improve its power play after scoring an NHL-low 31 goals with the man-advantage. The Canadiens' 13.2 percent success rate ranked 30th in the League.
Defenseman Shea Weber led Montreal with five power-play goals despite missing the first 24 games of the season following separate surgeries on his left foot and right knee.
"I think things were moving a little bit better at the end, and hopefully having more time to work on it with everybody at the start of next season will get things going," Weber said. "But you know there are some positive things to look at, especially at the end when we moved the puck well. I thought our breakouts improved a little bit near the end there and getting entries and getting set up, and I think that made a big difference."
Antti Niemi, who was Price's backup this season, will not be offered a contract for next season, general manager Marc Bergevin said. The 35-year-old, who will become an unrestricted free agent on July 1, was 8-6-2 with a 3.78 goals-against average and .887 save percentage in 17 starts this season.
"He's the partner that I respected the most out of all partners that I've had," Price said, "just the way he carried himself this whole season. He's a guy that's a champion and I have the utmost respect for him."
Niemi is 242-140-57 in 464 NHL games (443 starts) through 11 seasons with the Chicago Blackhawks, San Jose Sharks, Dallas Stars, Pittsburgh Penguins, Florida Panthers and Canadiens.