Mark Giordano scored for Calgary, which improved to 34-38-7. The Flames are 16-20-4 on the road this season.
Cory Schneider stopped 21 of 22 shots for New Jersey, which fell to 34-29-16. New Jersey's loss also allowed the New York Rangers to clinch a playoff berth.
Both Calgary and the Devils have three games remaining this season.
Neither the Flames nor Devils scored until Giordano's power-play goal 23 seconds into the third as both teams were unable to take advantage of opportunities.
Stay Connected
NHL.TV™
NHL GameCenter LIVE™ is now NHL.TV™.
Watch out-of-market games and replays with an all new redesigned media player, mobile and connected device apps.
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