Drury won a faceoff back to Numminen, who ripped a drive that Drury knocked past goalie Henrik Lundqvist.
Thomas Vanek posted a goal and an assist in less than 2 1/2 minutes of the second period, and Buffalo overcame two goals by Martin Straka to beat the Rangers for the third time. The Sabres won both Madison Square Garden visits this season in overtime.
Buffalo improved to 11-1 on the road.
Johan Holmqvist made 22 saves for Tampa Bay, which has won three straight and seven of 10. Ottawa had a winning streak stopped at four games.