T.J. Oshie also scored for the Capitals, who finished 3-3 on a six-game trip. Charlie Lindgren made 29 saves.
Kevin Hayes scored for Philadelphia, which has lost 13 of 15 games. Carter Hart made 23 stops.
Strome broke a 1-all tie with 10:41 remaining when he deflected John Carlson’s shot from long range past Hart.
Hayes had a golden opportunity to tie it on a Philadelphia power play, but Lindgren made a great right pad save on a try from close range with 8:20 remaining.
Ovechkin iced it, scoring into an empty net with 1:35 left and adding another empty-netter with 8.2 seconds left for his 15th of the season.
Ovechkin now has 795 career goals, good for third all-time. He is six goals away from tying Gordie Howe for second place, and 99 goals away from famous No. 99 Wayne Gretzky, whose 894 goals top the list.
Hayes scored his ninth goal of the season for his team-leading 28th point with 4:14 left in the first period to give the Flyers a 1-0 lead. Hayes rushed to the bench after breaking his stick on a slap shot attempt, and scored on a wrist shot from the high slot with his new stick.
The Flyers had a power-play goal for the third straight game and have four overall in that stretch. Philadelphia, which began play ranked 30th in the NHL in scoring on the man advantage, now has converted 16.7% (14 of 84) of its chances.
Oshie tied it 3:51 into the second on the Capitals’ fourth power play as the Flyers continued to take sloppy penalties. This time, James van Riemsdyk committed Philadelphia’s third tripping minor of the game. Oshie made them pay with his fifth goal of the season when he finished a nifty passing sequence with Strome and Evgeny Kuznetsov with a perfectly placed one-timer over Hart’s left shoulder.
NOTES: Van Riemsdyk returned after missing the last 20 games due to a broken right index finger. … Flyers forward Tanner Laczynski was placed on injured reserve after departing midway through the third period of Monday’s 5-3 win over Colorado with what looked like an injury to his left leg. … Washington was without several injured players, including starting goalie Darcy Kuemper (upper body). Kuemper was with the team, but missed his second in a row. … Carlson had two assists. … Philadelphia’s Cam Atkinson, out all season with an upper body injury, has been practicing and is close to returning.
Capitals: Host Seattle on Friday night.
Flyers: Open four-game trip at Vegas on Friday night.