Manny Malhotra scored the fourth goal in a seven-minute span for the Hurricanes, who had trailed 3-0 in the second period.
Montreal defenceman P.K. Subban tied the game 4-4 with 9:44 remaining in regulation.
Jeff Skinner scored a pair of power-play goals 37 seconds apart, and Eric Staal tied the game at 3 just 4:07 into the third period. Cam Ward made 21 saves in the win.
Introducing the new official NHL App, available for iPhone, iPad and Android smartphones and tablets. A host of new features and improved functionality are available across all platforms, including a redesigned league-wide scoreboard, expanded news coverage, searchable video highlights, individual team experiences* and more. The new NHL App on your tablet also introduces new offerings such as 60fps video, Multitasking** and Picture-in-Picture.
*Available only for smartphones
** Available only for suported iPads