Brown's first attempt went off the back of Blackhawks defenceman Johnny Oduya, but it bounced right back to the captain, who sent it past Corey Crawford for his 12th of the season. Anze Kopitar set up the score by winning a faceoff in Chicago's end.
Kopitar also had a goal in the second period to end Los Angeles' scoreless streak at 150 minutes, 35 seconds.
The Blackhawks were without right wing Marian Hossa for the second straight game due to an upper-body injury. Hossa isn't expected to play Tuesday night against Calgary, but could return this weekend.
WILD 7, STARS 4
DALLAS (AP) — Zach Parise scored two goals and added an assist and Minnesota extended its winning streak to six games.
Both of Parise's goals came on bounces that barely made it over the goal line. Mikko Koivu and Matt Cullen each had a goal and assist for Minnesota, which won for the first time in Dallas since March 21, 2003, snapping a 16-game losing streak in Dallas (0-11-5).
With the game tied 4-4 in the third period, the Wild got a short-handed goal from Kyle Brodziak at 12:38.
Niklas Backstrom, who is 14-3-1 in his past 18 games and coming off a 2-0 shutout of San Jose on Saturday, stopped 22 shots for the win.
RED WINGS 3, COYOTES 2
GLENDALE, Ariz. (AP) — Pavel Datsyuk scored Detroit's second power-play goal in the third period and had an assist, lifting the Red Wings over reeling Phoenix.
Datsyuk set up Johan Franzen's tying goal in the second period and beat Coyotes goalie Jason LaBarbera with a one-timer midway through the third period, giving him 11 points (three goals, eight assists) in eight games.
Ian White also had a goal and the Red Wings scored on the power play for the eighth straight game to win for the fifth time in six games.
The Coyotes fell behind early again, lost the lead after fighting back and failed on a chance to tie with about 4 minutes left, when Detroit goalie Jonas Gustavsson stopped Lauri Korpikoski for one of his 29 saves.
SHARKS 5, DUCKS 3
Havlat snapped a 15-game goal drought, Joe Pavelski scored just his second goal in 19 games and added a late assist, and James Sheppard wrapped it up with his first goal of the season with 9:56 to play in San Jose's final stop on a five-game trip.
Antti Niemi stopped 24 shots for the road-weary Sharks, who begin a seven-game homestand Wednesday against Anaheim needing a strong push to make the playoffs for the 14th time in 15 seasons.
Viktor Fasth made 34 saves for the Ducks, who have hit the first skid in their remarkable season.
BRUINS 3, MAPLE LEAFS 2, SO
BOSTON (AP) — Patrice Bergeron scored the tying goal with 9:24 left in regulation, then put Boston ahead in the shootout as the Bruins held on for a victory.
Milan Lucic also scored for Boston, which rallied from a 2-0 deficit and improved to 11-2-1 at home this season.
Tuukka Rask had 23 saves through regulation and overtime, then stopped Nikolai Kulemin on the Maple Leafs' last chance to extend the shootout, which Boston led 2-1 on goals by Tyler Seguin and Bergeron.
Rask had been beaten by Kulemin on a breakaway in the second period, but stopped him this time, knocking the puck away with his blocker and preserving the win for Boston.
Toronto held Boston to just six shots in the third period, but Boston got a goal out of one of them when Bergeron scored at 10:36.
SENATORS 3, DEVILS 2, SO
OTTAWA (AP) — Mika Zibanejad scored the winner in the shootout to give Ottawa a win over New Jersey.
New Jersey tied the game 2-2 at 6:05 of the third period as Zidlicky beat Bishop with a wrist shot from the left circle.
After a scoreless overtime, Alfredsson scored on Ottawa's second shootout attempt. The Devils' Travis Zajac tied it 1-1, then Zibanejad's goal and Bishop's save on Loktionov ended the game.
PREDATORS 3, OILERS 2
NASHVILLE, Tenn. (AP) — Sergei Kostitsyn had a goal and an assist to lead Nashville over Edmonton.
Martin Erat added two assists for the Predators. He has seven points (one goal, six assists) in his past three games.
Hall opened the scoring at 7:53 of the opening period. The goal was Hall's seventh of the season.