Price notched his third shutout of the season for the Habs, who next face the Bruins in Boston Thursday.
Brendan Gallagher and Max Pacioretty each provided a goal and an assist.
Brandon Prust also scored for Montreal.
Anton Khudobin made 27 saves for the Hurricanes, who fell for the first time in five games.
2014: NFL Cheerleaders [PHOTOS]
UPI Sports Results for September 19, 2014