Brodeur surpassed Hall of Famer Patrick Roy for the most minutes played after the puck was dropped to open the third. The 37-year-old Brodeur now has 60,280. Roy played 60,235.
After sending the game to OT with a stop on Marc Savard's wrister from the slot in the closing seconds of regulation, Brodeur made a left pad save on Patrice Bergeron and cut down the angle with a pad stop on David Krejci in the shootout.
"I totally forgot about it until they put it on the scoreboard. I knew it coming into the game, a lot of people brought it to my attention," Brodeur said. "They [records] are nice. Now this one's over and we'll move on and try and get another one somehow."
The PA announcer acknowledged Brodeur becoming the all-time minutes leader during a stoppage before a faceoff 2:56 into the second period. The announcement continued as play began in the Devils' zone.
The loss snapped Boston's season-high four-game winning streak.
"At the end of the game I thought we had a lot of good chances. We were hoping we could squeak one in there to get the game-winner," Bruins coach Claude Julien said.
Blake Wheeler, who had Boston's only goal in regulation, had the Bruins' lone score in the shootout.
With the shootout tied 1-1 after Parise's and Wheeler's goals, Langenbrunner beat goaltender Tuukka Rask between the pads.
"He kind of was biting on that first shot a little bit. First move, I guess," Langenbrunner said.
Wheeler scored 12 seconds into the third period for Boston, tying it at 1 and ending Brodeur's bid to tie Terry Sawchuk's NHL record of 103 shutouts.
Parise had the Devils' only goal in regulation, extending his point streak to a career-high nine games. He has eight goals and six assists in that stretch.
The Devils have won all 10 times this season when they led entering the third period.
Rask made 36 saves before the shootout. Brodeur had 32.
New Jersey moved ahead 1-0 on Parise's goal midway through the second period. He scored from a scramble in front when he whacked at the puck twice, slipping it by Rask's left pad. Matt Halischuk had his first assist of the season on the play.
Boston tied it when Wheeler scored on the first shift of the third period, ending any suspense about Brodeur reaching Sawchuk's record. Wheeler one-timed Byron Bitz's pass from the bottom of the left circle.
Brodeur made his game-saving glove stop on Savard with five seconds to play in regulation.
"I got it off good," Savard said. "I think I got him under the arm a bit. I knew I didn't have much time on the clock."
Devils winger David Clarkson was helped to the locker room after taking Zdeno Chara's shot off his right ankle. The Devils were already missing two defensemen: Paul Martin, sidelined for his 14th straight with a broken arm, and Johnny Oduya, out for his 12th consecutive game with a lower body injury.
Boston left winger Milan Lucic will be sidelined up to four weeks with a sprained left ankle sustained when his skate got caught in a rut during Wednesday's shootout win against the Minnesota Wild. "He will probably be out for around four weeks. It could be less," GM Peter Chiarelli said before the game. "When I saw the injury happen, you look at the stress on the lower knee and the ankle, I certainly expected worse." ... The Bruins had no shots on goal in their three power plays in the first two periods. New Jersey had two while short-handed. ... The Devils are in a stretch of 10 of 12 at home. Their only other road game is in Buffalo on Dec. 7. ... It was the opener of a day-night, hockey-basketball pro doubleheader tradition.The Celtics were scheduled to play Toronto at night.