"It's the way it's going," Satan said. "It's pointless to analyze it. I'm just glad to help the team."
Josef Vasicek also scored for the Islanders, who won their fourth in a row and finished a six-game homestand with five wins. Rick DiPietro turned aside 19 shots for his eighth win this season, and 98th in the NHL. He made a huge stick save on Brian Gionta with 25 seconds left to preserve the win.
Dainius Zubrus had the only goal for the Devils, 1-2-1 in their last four. Brodeur stopped 20 shots.
The first period was scoreless until Vasicek gave New York the lead at 17:13. Standing in the slot, Vasicek banged in the rebound of Chris Campoli's shot from the left point.
The goal was aided when New Jersey defenseman Karel Rachunek passed back in his zone to Patrik Elias. Problem was, Elias had broken his stick and had no way to play the puck. That allowed Richard Park to grab it and start the play that led to the goal.
"I was yelling for Karel to go, and I guess he didn't hear me," Elias said. "It was a miscommunication."
Both goalies came up big early in the second period. Brodeur flashed his left pad to stop Park, and on the ensuing rush, DiPietro made a rising glove save on Zubrus.
Brodeur stopped Park again with just over six minutes left in the period with a glove save on a break in, and about a minute later, laid down to deny Trent Hunter.
Zubrus got the Devils even 70 seconds into the third period when he had three chances at a rebound. He backhanded the final attempt, and Islanders defenseman Brendan Witt accidentally put it past DiPietro.
Satan capitalized on the front end of a two-man advantage at 6:25 to put the Islanders back in front. He took Hunter's cross-crease pass and put it in.
Satan has all five of his goals, plus five of his six assists in the past seven games, recording at least one point in each game.
"That's the first time I've played that position on the power play," Satan said. "I felt very comfortable out there. I felt like it was my office."
The second penalty was a bench minor for unsportsmanlike conduct.
"All I will say is that it was taken behind the bench," New Jersey coach Brent Sutter said when asked to identify the culprit. "It wasn't any of the players."
Brodeur said defending a two-man disadvantage against the Islanders was not easy.
"I don't think they beat us," Brodeur said. "Look at the two goals they got."
The Islanders weren't called for any penalties for the first time this season.
"It means we're not skating from behind," Nolan said, "and we're in good position."
- New York captain Bill Guerin left the ice with 2:14 left in the first period after taking a puck to the face. He returned for a few shifts to start the second, but then went back to the dressing room to have his eye checked. He sustained a cut above his right eye, and will be re-evaluated on Monday. The Islanders said the injury doesn't appear to be serious, and Guerin is day to day.
- The Devils started a stretch of six of eight games on the road.
- New Jersey forward Sergei Brylin needs one more game for 700 in the NHL. D Vitaly Vishnevski needs one more for 500.
- New York reacquired D Freddy Meyer off waivers from Phoenix. Meyer had been claimed off waivers from the Islanders by the Coyotes last month.
- The homestand was the longest for the Islanders this season.
- Ryan Walter, the father of Islanders rookie C Ben Walter, saw his son play in the NHL for the first time in person. Ryan Walter was an NHL forward with Washington and Montreal.