Accrington's Aswad Thomas opened the scoring at the Deva Stadium but Chester's Paul Butler quickly levelled the score.
Chester then went ahead thanks to John Murphy's shot deflecting off keeper Ian Dunbavin before crossing the line.
Aswad Thomas got his second goal of the match but it was Ian Craney's injury-time goal that got the final victory.
To watch a slideshow from the match CLICK HERESee also- VIDEO: Bobby's Bulletin - February 07, 2008- MATCH REPORT: Chester 2 Accrington Stanley 3- Blues must stick at it
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