It was San Jose's second straight shutout loss, following a 5-0 setback at Nashville Wednesday.
Norrena stopped all 29 shots he faced, and got the only goal he would need when left wing Fredrik Modin scored at 4:56 of the second period.
Evgeni Nabokov allowed three goals on 19 shots for the Sharks, who have dropped three of five.
Fedorov scored the game's lone power-play goal.
In two earlier games this season, San Jose had outscored Columbus, 8-2.
UPI Sports Results for September 20, 2014
UPI Sports Results for September 19, 2014