"Mr. Avery has been warned repeatedly about his conduct and comments, which have too often been at odds with the manner in which his more than 700 fellow players conduct themselves," Bettman said in a statement.
"Playing in the National Hockey League is a privilege, requiring a high standard of personal behaviour. Mr. Avery forfeits that privilege for six games."
The Stars forward sought out television cameras before Tuesday's game with the Calgary Flames and made crude remarks about former girlfriends.
Avery's lewd comments drew Bettman's wrath, the NHL commissioner immediately imposing an indefinite suspension then summoning him to a disciplinary hearing at the league's New York offices on Thursday.
Avery, who has often made headlines for making outrageous remarks, could be further punished by the Stars, who have removed his profile from the team website and removed his name plate from his locker.
A contrite Avery offered an apology for "offending the great fans of the NHL" on Wednesday. But the forward, who signed a four-year deal worth $15 million with Dallas earlier this year, has received little support from his team mates and coach Dave Tippett.
"It is a situation where he has painted our organisation with a brush that nobody wants to be painted with," Tippett told reporters after hearing of Avery's remarks.
"There's been people from management to coaches to his teams who have put in a lot of time and effort to get him engaged in our group. Obviously the point wasn't getting across which brings us to where we are right now.
"I don't know if we can build the best team possible with Sean coming back."
