It was the first interconference game for both teams. Murray coached and was the general manager of the Ducks -- the Kings' local rival -- before taking over the Senators.
"They run around and do lots of stuff, either after the whistle or before the whistle," Murray said. "Their line changes are always late - they get warned and never get a penalty for it. It's the way they do it every time."
A total of 95 minutes in penalties were doled out in the third period, including 65 against Ottawa.
"You can't just have it your way," said Andy Murray, who has coached the Kings since 1999. "You can't be on top and lofty and preaching to everybody else. I guess you can, if you're on top, but I'd like to have that feeling sometime."
Los Angeles, which has lost four of five, extended its season-high losing streak to three in the only meeting between the teams this season.
Heatley, who failed to record a point Thursday for the first time in 23 games this season, scored one of the Senators' two power-play goals in the first period.
Pavol Demitra got his 14th on a power play 7:02 into the second to draw the Kings within 2-1.
Hasek came way out of his net later in the period and sprawled across the ice to take away a breakaway scoring chance from Alexander Frolov.
The spectacular play proved big as Vermette scored on a short-handed breakaway at 18:25 to give Ottawa a 3-1 advantage. The Senators put it out of reach in the third with goals 15 seconds apart by Heatley -- his second of the game, and 19th of the season -- and Fisher.
"We got off to a good start," Heatley said. "They played very well in the second, and then after we took control in the third and things got a little bit out of hand."
The bad blood continued later when Ottawa right wing Chris Neil was given a game misconduct and a major penalty just 38 seconds into the third after his check from behind sent forward Dustin Brown into the boards in front of the Kings' bench.
Avery, who was ejected later in the period, was at the center of things at 5:21 when he and Senators defenseman Andrej Meszaros were penalized for a shoving scrum that saw Hasek's helmet come flying off when he went behind the net to confront Avery.
"I just came to tell him something because I already had the puck in my glove and he slashed me," Hasek said. "I came behind the net and he punched me, so he caught me by surprise. But I didn't want to fight. We were short-handed."
Brian McGrattan was eager to go with Avery, however, and the Ottawa enforcer caught up with him moments later at 8:18. Avery got a game misconduct, along with roughing and unsportsmanlinke conduct penalties. McGrattan got cross-checking and roughing minors and a 10-minute misconduct.
Hasek went crashing to the ice at 12:07 after Craig Conroy's skate hit him in the mask when the Kings center was upended by Heatley when he passed through the crease.
"I thought they were getting a tripping penalty and then I saw Hasek laying in the net," said Conroy, who drew a goaltender interference call, the only penalty on the play. "I had no clue that I even hit him in the head."
The 6-foot-9 Chara was given an instigating penalty, a fighting major, a misconduct and a game misconduct.
"Who instigated the fights?" Andy Murray said. "The Chara fight, Bryan's going to lose 10,000 bucks and Chara is going to be suspended. For what? And McGrattan goes out and fights Avery -- Sean Avery played hard tonight. Did he chop anybody? Did he do anything dirty? I mean, he had a couple of solid hits."
Senators backup Ray Emery replaced Hasek and made three saves to finish the game, which ended with a scrum behind the Ottawa net.
"I was very concerned that one of their guys would take a run at Hasek," Bryan Murray said. "He played an outstanding game and we don't play them again so I'm not sure why they would, but I just didn't want to take a chance."
- Kings C Jeremy Roenick missed his second game of the season because of the flu. LW Luc Robitaille was a healthy scratch.
- The Senators ended a six-game winless streak against Los Angeles. Ottawa's previous win was a 4-3 victory on Jan. 11, 2000.