The Sabres won for the seventh time in nine games and stayed hot while they make a late-season playoff push. Buffalo has 70 points, tied with Washington for ninth place in the Eastern Conference and two behind Winnipeg for the final post-season position.
That was all the scoring until Pominville came through with his 24th of the season while Bryan Allen was in the penalty box for hooking.
Ryan Miller made 22 saves to get the win. Miller has been a big part of Buffalo's current run, having recorded back-to-back shutouts on Feb. 29-March 1.
Cam Ward stopped 39 shots for the Hurricanes, who have lost three out of four.