Jamie Langenbrunner scored a flukey goal off his body in the opening seconds of the third period to break a scoreless tie, and Zach Parise scored into an empty net with 40 seconds to go as Brodeur picked up his 102nd shutout.
Brodeur made about four saves between Langenbrunner's goal and Parise's clincher to secure his first shutout of the season and the Devils' first victory at home in four tries.