Johan Franzen had two goals and an assist, and Danny DeKeyser had a goal and an assist for Detroit, which lost its seventh straight at home and its 11th consecutive overtime decision there. Jakub Kindl had two assists, and Jimmy Howard made 34 saves.
Latta tied it 3-3 with 8:06 left in regulation when he poked in a loose puck from just outside the slot.
Ovechkin had brought Washington within 3-2 at 3:19 of the third period with his 15th goal. He beat Howard with a one-timed shot from the bottom of the left circle.
DeKeyser's power-play goal with 18 seconds remaining in the second period gave Detroit a 3-1 lead. He put in a one-timed shot from the right circle for his second goal.
Holtby made a spectacular toe save — with the puck right along the goal line — on Tomas Tatar's wraparound attempt with 5:50 left in the first period.
Laich opened the scoring 5:50 into the game when he backhanded in his own rebound after skating in off the right wing following a turnover by DeKeyser in the neutral zone.
Franzen then scored twice to put Detroit ahead.
His power-play goal with 4:08 left in the first period tied it at 1. He beat Holtby with a screened snap shot from the left circle. Franzen struck again with 2:18 left when he put in a one-timed shot from the bottom of the left circle for his fourth goal of the season.
NOTES: Red Wings RW Daniel Alfredsson was a late scratch because of a sore groin. ... Capitals D Mike Green didn't play dues to a lower-body injury. ... Detroit D Jonathan Ericsson returned after missing 10 games with a separated shoulder. ... Washington D Steve Oleksy is from the Detroit-area suburb of Macomb. ... Red Wings RW Patrick Eaves cleared waivers on Friday and was sent to Grand Rapids of the AHL. Detroit also sent C Luke Glendening to Grand Rapids. ... Capitals rookie RW Tom Wilson and backup goalie Michal Neuvirth both played junior hockey with the Ontario Hockey league's Plymouth Whalers, who are based in suburban Detroit. ... Red Wings C Stephen Weiss missed his third game with a sore groin.