Peterhead manager Jim McInally enjoyed his side’s deserved victory at Forthbank, but believes there is still more to come from his squad.
The Blue Toon are sixth in the table, seven points outside the top four with a game in hand, after beating their fellow promoted club on Saturday.
Bryan Gilfillan and a Phil Johnston own goal had the Blue Toon in command and Cammy Kerr restored their two-goal lead after Steven Doris had pulled one back.
Sandy Cunningham gave Stirling hope with 11 minutes left, but Peterhead held on, to leave the Binos six points adrift at the foot of the table and still without a home win in League 1.
McInally, whose side faces the leading quartet of Stranraer, Morton, Forfar and Dunfermline in its next four games, said: “I think we were professional more than good. We made it hard for ourselves at times and I’m glad we scored so quickly after they got it back to 2-1.
“We had Stirling watched against Raith last week and the reports were they played well, and they shouldn’t have lost when I saw them at Brechin recently, so to come away from home and get three points is pleasing.
“It was good to get back playing after having last weekend off and we are not on the worst run ever. We lost twice to Stranraer in a short space of time but we have generally been hard to beat.
“We are getting players such as Dean Cowie back, and Mark Millar is getting fitter, so I think we will only get stronger. We have to try to get to the play-offs – that remains our target.
“It’s a blow to have lost the three points from the Ayr United game otherwise we would be sitting really pretty at the moment – we felt the game having to be replayed was harsh under the circumstances but there is nothing we can do about it.”
Stirling Albion manager Stuart McLaren, who takes his team to Station Park to play leaders Forfar on Saturday, said: “We’ve taken a bit of a step backwards after playing well against Raith Rovers in the Scottish Cup last week.
“We still managed to get two goals and looked quite threatening in attack at times, but it’s very difficult getting results when you we conceding so many goals. We are getting punished for our mistakes at the moment, but we definitely need to improve on things defensively.”