Price said Friday the act has been banned in favour of a team celebration.
"There's going to be no low-fives this year," said Price. "There's only a team celebration at the end of the game."
Asked if he was OK with that, Price said yes.
The low-fives were a popular act with fans as the two young stars would face each other and slap hands together at waist level after a win. The Canadiens used to have pictures of it on their web site.
But coach Michel Therrien has stressed what he calls the "team concept" since taking over this season and wants the players doing things together rather than as individuals.
This season, the Canadiens skate together to centre ice and raise their sticks to the fans. It's a celebration that has been used by most European hockey teams for years and was recently adopted by NHL clubs, including the Canadiens and the New York Rangers.
"I always like teams that are humble," said Therrien. "It's a team concept and it starts with that.
"We have to respect the game, we have to respect the other team and we have to respect the fans. That's the way we decided to celebrate this year. When we win a game at the Bell Centre, we salute the fans. They deserve it."