It was Green's fourth goal of the season. Nicklas Backstrom had two assists for the Capitals, who moved ahead of Philadelphia into the Eastern Conference lead.
Nikolay Zherdev and Ville Leino scored for Philadelphia, which had its six-game winning streak snapped. The Flyers haven't won seven in a row since January 2002.
Braden Holtby made his first NHL start in goal for the Capitals, making 23 saves. Holtby earned a standing ovation with 9½ minutes left in the third period after a pair of saves on point-blank shots to preserve the tie during a flurry of Flyers activity in front of the net.