Scorers: Jackson (74)
STRANRAER missed out on the chance to close the gap on Brechin, with Andy Jackson's second half goal proving the difference in a tight contest.
The hosts had more of the ball over the 90 minutes but chances were at a premium for both sides as too often neither goalkeeper was called into serious action.
Unsurprisingly, Brian Reid named the same side that had defeated Queen's Park at Hampden seven days earlier.
It was the Blues who should have opened the scoring shortly after the quarter hour mark.
Craig Malcolm controlled Willie Gibson's free-kick and held it up in the box.
He patiently waited before rolling it into the path of Giuliano Morena, who was only denied his first goal in Scottish football by the legs of Graeme Smith.
Mark McGuigan also blazed over in the first half, while Smith had to be alert to cut out Craig Thomson's cut back.
Still, the visitors had a penalty claim waved away ten minutes into the second half when Jackson tumbled in the box.
However, the striker would pick himself up to deal the knockout blow with just over 15 minutes left on the clock.
The frontman did well to collect Willie Dyer's cross and managed to wriggle free of a handful of Stranraer defenders to find a pocket of space and roll the ball across the helpless Cameron Belford.
The Blues pushed to get a leveller but in truth failed to call Smith into action in the final 15 minutes as they went down to defeat.
Stranraer: Belford, Robertson, Dick (Watt 65), Barron, Bell, Morena (R Thomson 68), Turner, C Thomson (Agnew 76), Gibson, Malcolm, McGuigan.
Not used: McKeown, Maley, Sherrie and Currie.
Brechin City: G Smith, McLean, Dyer, E Smith, Hill, Ford (McCormack 29), Trouten (Caldwell 65), Dale, Jackson, Spence, Love (Lynas 89).
Not used: Graham, Rodger, Fusco and O'Neil.
Referee: David Munro
Thanks to Bill McCandlish for the images.