Rangers goalkeeper Igor Sjesterkin played great in the goal with 36 saved pucks and Mika Zibanejad scored the decisive 3-1 goal in powerplay with seven minutes left in the match.
The New York Rangers still have a chance to reach the Stanley Cup playoffs - but it will be a tough battle.
The team is in fifth place in the Eastern Division, four points behind Boston which is in fourth and last playoff spot at the moment, but with two fewer games played.
20 goals
Tonight's opponents Buffalo are no longer dependent on the last in the table.
But the jumbo team still gave Rangers goalkeeper a match.
- Today we played a very smart defensive and offensive and the result was as it should have been.
We give ourselves the opportunity to fight for a place in the playoffs, says goalkeeper Igor Sjesterkin.
Mika Zibanejad has injected goals recently and leads the NHL Swedes' shooter with 20 goals this season.
Florida teams ready
Some who are already ready for the Stanley Cup playoffs are last year's winner, Victor Hedman's Tampa Bay, thanks to a 7-4 victory over Chicago in tonight's NHL.
The Swedish team Florida, including Patrick Hörnqvist and Alexander Wennberg, also secured a playoff spot last night after defeating Nashville, also there with just 7-4.
Nashville, with the Swedes Viktor Arvidsson, Mattias Ekholm, Filip Forsberg and Calle Järnkrok is in fourth place in the division, and thus has a chance to become the next team to pinch a place in the Stanley Cup.