Goalkeeper Chris Smith saved a second-half penalty as Stenhousemuir held on for victory at Brechin.
Andrew Jackson hit the post as City made all of the early running but Bryan Hodge found the bottom corner for the visitors on 38 minutes.
Brechin had a golden opportunity to equalise just after the hour mark but Smith saved Alan Trouten's spot-kick high to his right.
And the Warrirors held on for their first clean sheet in 15 league games.
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