NEW Blues boss Steve Burr celebrated his first game in charge with a much-needed home victory.
Lewis Turner broke the deadlock in the 35th minute when his right wing cross evaded everyone in a crowded penalty box and hit the base of the left post before trickling over the line.
Chester worked hard for their breakthrough, but Barnet showed glimpses of their attacking threat, with Jake Hyde looking sharp in counter-attacks.
Hyde had the ball in the net in the 28th minute, but his tap in at the near post from a Keanu Marsh-Brown assist was ruled out by an offside flag.
And Hyde turned a near post effort wide of the target seconds after Chester's goal.
The Barnet striker also connected with a 10 yard volley froM another Marsh-Brown centre in the 38th minute which was comfortably saved by John Danby.
Hyde equalised with a header from Marsh-Brown's right winbg delivery in the 85th minute.
But Chester regained their lead seconds later when Jamie Reed crashed home at the back post from a low Lewis Turner right wing cross.
CHESTER (4-4-2); Danby; L Turner, Horan, Killock, McIntyre; Jarrett, G Miller, Menagh (Lindfield 70), Rooney; Reed (Heath 87), Peers (Mahon 79). Subs (not used): Fearon, Kay.
BARNET (4-5-1): Jupp; Yiadom (Acheampong 82), Johnson, Weston, Saville; Marsh-Brown, Byrne, Cadogan (Crawford 62), Villa (Gambin 62), Stephens; Hyde. Subs (not used): Abdulla, Barnes.
REFEREE: Wayne Barratt (Bromsgrove).