Tim Thomas made 32 saves for his 36th victory.
Radek Martinek and Doug Weight had goals for New York. The Islanders finished last overall in the NHL, losing their last four games. They had 47 regulation losses.
Yann Danis started in goal and stopped 11 shots before giving way to Joey MacDonald, who made 16 more saves.
The Bruins took only 23 seconds to open the scoring. David Krejci broke in on a two-on-one with Ryder and passed the puck over to his linemate, who quickly shot the puck past Danis.
Boston struck again with 4:40 left in the first period. Danis made a pad save on Blake Wheeler's shot, but the rebound bounced out to an uncovered Kessel, who simply put it in the open left side.
Early in the second period, Thomas made the save of the game while Boston was on the power play. He dove in the crease to get his glove on Richard Park's wrist shot.
Boston then skated down the other end, and Savard cashed in on the power play for his 25th goal of the season at 1:09.
The same thing happened a few minutes later. Thomas poke-checked the puck off Tim Jackman's stick on a short-handed breakaway, and Kessel wound up with his second of the game at 5:27, again on a power play.
At that point, Danis was pulled for MacDonald. And the first shot MacDonald faced went past him into the net off the stick of Kobasew at 7:02.
The Islanders broke Thomas' shutout bid with 1:51 left in the second period when Martinek's left point slap shot went in.
Weight added a goal 87 seconds into the third period to make it 5-2.
Kessel notched the hat trick on a one-timer at 12:53. The former University of Minnesota star from Austria had a team-high 36 goals in 70 games.
Notes: Though the Islanders finished the season with the worst record of all 30 teams in the NHL, they were a respectable 17-18-6 at home. ... The Islanders also finished their 37th season, and for the first time ever, they finished without a 20-goal scorer on their roster.
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