The Red Wings’ home slide reached eight games (0-6-2).
Neither team could hold the lead until Poulin finally shut the door in the tiebreaker, denying Henrik Zetterberg, Pavel Datsyuk and Todd Bertuzzi. The Red Wings had tied the game 4-4 when Datsyuk scored his second of the night with 42.5 seconds left in regulation.
Nicklas Backstrom scored the only goal of the shootout, and the Capitals rallied from a two-goal deficit to beat the Red Wings 4-3 on Friday night.
Five of those losses were in overtime or a shootout, meaning the Red Wings have gotten five of 12 possible points in those games.
Devin Setoguchi and Andrew Ladd scored in the shootout to give the Winnipeg Jets a 3-2 win over the Detroit Red Wings on Tuesday night.
Henrik Zetterberg scored both goals for Detroit, which lost its fifth straight at home. Jimmy Howard made 31 saves.
The Detroit Red Wings are on the brink of their worst home losing streak in more than 17 years.
“They played better than we did,” Detroit coach Mike Babcock said. “I think from start to finish they were the better team on the ice.”
Darren Helm was happy just being on the ice again. Scoring the winning goal was a bonus.
Justin Abdelkader scored the winning goal with 3:24 left to help the Detroit Red Wings edge the Calgary Flames 4-3 on Friday night.