The Rangers faced the first-place Quebec Nordiques in the first round of the playoffs. They narrowly lost Game 1, 5–4, as the Nordiques were powered by
Joe Sakic's hat-trick. New York came back in game 2, winning 8–3.
Sergei Nemchinov and Petr Nedved each scored twice. After edging the Nordiques 4–3 in Game 3, the Rangers found themselves trailing 2–0 in Game 4. They would tie it up on goals by
Brian Leetch and
Alexei Kovalev.
Steve Larmer scored the winner at 8:09 of the first overtime period. Facing elimination, the Nordiques played a determined Game 5 at home and won 4–2 to cut New York's lead in the series to 3–2. The Rangers, at home for Game 6, built up a 4–0 lead and ended up winning 4–2, to eliminate the Nordiques four games to two. The Nordiques moved to Colorado almost immediately, as the announcement came on May 25, 1995. In the second round, the Rangers faced a determined Philadelphia Flyers team that was led by the "
Legion of Doom" line. In Game 1, the Rangers jumped out to a 2–0 lead after the first period on power-play goals by Brian Leetch and Petr Nedved. With the help of
John LeClair's hat trick, the Flyers took a 4–3 lead in the third period. With only 19 seconds remaining, Pat Verbeek tied the game at 4–4. However, it was the Flyers who would ultimately win the game, as
Eric Desjardins scored at 7:03 of the first overtime period. Game 2 started nearly identically to Game 1, as New York led 2–0 after the first period on power-play goals. Both were scored by Brian Leetch. Philadelphia re-gained control of the game as they had in Game 1, leading 3–2 midway through the third period. With under eight minutes to go, Leetch completed his hat trick to tie the score at 3–3. This game also went into overtime, and the Flyers needed only 25 seconds to win it, as defenseman
Kevin Haller scored his 3rd of the playoffs to give Philadelphia a 2–0 lead in the series. The Flyers went on to dominate Games 3 and 4 at
Madison Square Garden in New York, winning 5–2 and 4–1 to complete the sweep. ==Schedule and results==