Matt Hendricks and Todd Brouwer, with his team-leading ninth goal of the season, also scored for Washington (8-11-1).
It was Holtby's third shutout of the season in his 14th game (7-7-0).
Winnipeg goalie Ondrej Pavelec made 18 saves for the Jets (10-10-1), who had a three-game winning streak snapped.
The last time the Jets went scoreless at home was Jan. 12, 2012 in a 2-0 loss to San Jose. The last time they were shut out was in a 3-0 loss in Montreal on Feb. 5, 2012.
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