Vermette slapped his stick against the back of linesman Shandor Alphonso's legs after losing a faceoff to Minnesota Wild captain Mikko Koivu during the third period of the Ducks' 1-0 win Tuesday night.
The NHL announced the decision in a news release Thursday, a day after Vermette had a disciplinary conference call with the league and the players' union.
The NHLPA has notified the league that it will appeal the suspension.
Vermette will lose more than $97,000 if the suspension is upheld. The money goes to the league's Players' Emergency Assistance Fund.
Vermette is allowed to appeal any suspension. NHL commissioner Gary Bettman would hear the first appeal, followed by an independent arbitrator.
If Vermette immediately serves the suspension, he would be out until the Ducks have only 14 games left in their regular season. He would be eligible to return for Anaheim's visit from the Washington Capitals on March 12.
The normally mild-mannered Vermette appeared to act out of frustration when Alphonso dropped the puck before the forward had put his stick in place on the ice.
The officials immediately stopped the game and assessed a game misconduct to Vermette, who has been among the NHL's best faceoff men this season. Vermette has won 62.4 percent of his 985 draws, the best percentage in the league among all players who regularly take faceoffs.
Vermette had been enjoying steady success in his first season with the Ducks, who signed the 34-year-old veteran to a two-year deal in August. Along with his remarkable faceoff proficiency, the 2015 Stanley Cup champion has contributed eight goals and 14 assists in 58 games.
Vermette's misbehavior is the latest instance of official abuse in the NHL, but it's not the most dramatic in recent history. Last season, Calgary defenseman Dennis Wideman managed to get his 20-game suspension reduced on appeal after he cross-checked linesman Don Henderson from behind.
Wideman was given an automatic 20-game suspension for deliberately attempting to injure an official, and Bettman upheld it before a neutral arbitrator decided Wideman's action hadn't been intentional and reduced the ban to 10 games.
Wideman incurred a concussion on a hit by Nashville's Miikka Salomaki moments before he hit Henderson, and Wideman claimed he didn't see Henderson on his way back to the bench. Henderson also incurred a concussion when Wideman hit him.
The arbitrator ruled that Wideman's suspension should be halved, but Wideman already had served 19 games of the ban. He was refunded his lost salary for the difference.
Information from The Associated Press was used in this report.