He has 19 career shutouts in four NHL seasons. Lundqvist served as the backup to Steve Valiquette on Friday night in the Rangers' 2-1 shootout loss at Buffalo.
That spoiled the outing by Senators goalie Brian Elliott, who made his second NHL start. Ottawa didn't fare any better at home after returning from a 1-6-1 road trip.
Elliott, the AHL goalie of the month in December, was called up in an effort to give the Senators a spark. He played well, but the effort was futile as the Senators had no answers against Lundqvist.
Ottawa was shut out for the fourth time this season.
Dubinsky snapped a 19-game drought without a goal when he scored his sixth of the season in the first period. Korpikoski netted his second, after returning from a recent benching, giving the Rangers insurance in the third period.
Elliott made 25 saves, including one against Petr Prucha during a breakaway early in the third. But soon after, Elliott wasn't tight enough against the post, and a quick shot from Korpikoski slipped through at 5:22.
Dubinsky scored the first goal when a rebound bounced off Korpikoski's chest right to him at the side of the net. Dubinsky swatted the puck past Elliott at 15:09.
The Senators were outshot 14-9 in the first period, but outhustled the Rangers in the second period to own a 14-4 edge.
Ottawa also had a 5-on-3 advantage for 25 seconds, but was unable to get anything going.