Deportivo suffered their 13th consecutive loss on Friday and sit 19th in the Spanish top division standings, two points from safety, report EFE news agency.
The visitors appeared from the start to be aiming for no more than a draw, sitting-in deep and hoping for a chance on the counter.
Girona, meanwhile, were content to ease into control of the contest and the approach paid off in the 20th minute, when the ball fell to Cristhian Stuani after Deportivo goalkeeper Ruben Martinez stopped Bernardo Espinosa's header off an Alex Granell free kick.
Martinez kept his side in the game with stops against Pere Pons and Granell. But in the final minute of the first half, it was Girona keeper Bono who had to be sharp to deny Deportivo's Florin Andone.
Aware of the damage another loss would do, Deportivo started the second half with more ambition, though Girona nearly added to their advantage with Pablo Maffeo's shot -- stopped by Martinez -- and a free kick by Granell, which was turned aside by the wall.
The decisive goal came just 11 minutes into the second period. Again, Granell was the initiator, delivering a perfect ball to the six-yard box for Juanpe to put past Martinez.
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