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.
For our team, as a group, we've never been this far before, and so it's just more lessons learned, and sometimes you have to go to the school of hard knocks to find out what works and what doesn't. We've got a young group. They've played some unreal hockey here to get us this far, and we showed if we're not going to play the proper way, a really, really good hockey team is going to beat you, and that's what they did. It's a lesson learned.
— Lightning coach Jon Cooper after Rangers win in Game 6 forced a Game 7 that will be played at Madison Square Garden on Friday