Dustin Byfuglien scored the game-winner midway 2, in a key Southeast Division battle.
Ondrej Pavelec made 20 saves for Winnipeg, which improved to 23-10-4 at home this season.
Brooks Laich and Mathieu Perreault scored for the Capitals, who sit eighth in the East with 78 points.
Tomas Vokoun made 25 saves for Washington, which had a four-game winning streak snapped.
Ladd got the scoring started at the 11:08 mark of the first period. Ladd's initial shot from the slot hit off a Washington player, but he gathered the loose puck and put a backhander past Vokoun.
Just 22 seconds later, Laich deflected a Marcus Johansson shot past Pavelec to make it 1-1.
Antropov's backhander with 3:50 left in the middle stanza made it 2-1 Winnipeg.
Perreault's power-play goal just 27 seconds in the third tied the game again. His shot from the bottom of the left circle got past Pavelec.
Byfuglien scored the go-ahead goal for the Jets at the 9:21 mark. Evander Kane carried the puck down the left side to the goal line. He then threw the puck in front and Byfuglien chipped the puck past Vokoun.
Washington had a great chance to tie the game when Winnipeg's Ron Hainsey was sent to the penalty box with 2:22 left. The Capitals pulled Vokoun for a 6- on-4 advantage, but failed to score.
The Jets have taken three of five from the Capitals this season...Washington defenseman Mike Green returned to the lineup after serving a three-game suspension...The Jets went 0-for-6 on the power play, while the Capitals went 1-for-3 on the man advantage.