Paul cut it to 2-1 on a wrist shot with Jarry scrambling to push toward the right post at 4:21 of the second before Malkin scored 1:41 later.
Malkin dropped to one knee for a wrist shot that made it 3-1 at 6:02. He has 15 points (five goals, 10 assists) during a personal nine-game point streak, a stretch that was interrupted by missing two games with an illness Dec. 12-14.
"I feel it, you know?" Malkin said. "I try to help the team to win. It's always good when you have a chance to score and you score, you feel it for the whole game after. Great game for us. We play against a tough team. No power play tonight. We play hard. Good two points for us."
Paul, who has three goals in the past two games, got the Senators within 3-2 when he scored on the rebound of a shot from Connor Brown at 15:58.