With just over two minutes to play in overtime, Rangers forward Ryan Callahan slammed home his 24th goal of the season to give New York its 39th win of the 2011-2012 NHL regular season.
Trailing 2-1 after an early third period goal, Marion Gaborik tied the game for the Blueshirts with his 29th goal, and goalie Henrik Lundqvist would do his part from there. Lundqvist needed to make only 18 saves on 20 shots, but was sharp when it mattered most and stifled the Sabres late.
The win widens the Rangers' gap at the top of the Eastern Conference standings, and they are now seven points clear of second place Boston, whom New York has beaten in both of its meetings thus far this season.
New York takes the ice again on Monday night when they play host to the New Jersey Devils.