CHESTER boss Mark Wright hailed his side's performance as "outstanding" at the Deva Stadium on Saturday despite a single goal win.
City's play, particularly in the first half, was awesome as they controlled the match for long spells.
The victory extended Chester's unbeaten run in the Nationwide Conference to 14 matches and increased their lead at the top to two points.
Barnet, who started the match in third place, put up some determined resistance but few defences would have stopped Alex Smith's winner which came three minutes into injury time in the first period.
Davies and Guyett were involved in some neat interplay down the right before Davies squared the ball to Smith.
The former Everton trainee picked his spot and sent an unstoppable 25-yard effort fizzing into the top corner, giving Gore no chance and breaking the Londoners' hearts.
Chester had controlled the first period, with Gore making a succession of saves; his best stops coming from Claire, Stamp and Davies.
Barnet's only first-half opportunity was a header from midfielder Yakabu that went wide of a City upright.
The match had started at a fast pace, with Chester always in the ascendancy with Smith outstanding. What a capture he appears to be for the promotion-chasing outfit.
Smith was the orchestrator of much of City's best work. He set Brady free, the Australian winger then crossed to the far post where Hendon just managed to divert the ball away from leading scorer Stamp.
Barnet's defence was all over the place, as McIntyre and Stamp caused havoc with some neat play, Maddix being forced to hack a loose ball clear of the advancing Stamp.
Gore, who had been the busiest player on the park in the first half, did well to punch a dipping free-kick from McIntyre off the head of Stamp.
The men from North London came more into the game in the second period, but the Conference leading scorer, Giuliano Grazioli, rarely caused any problems for the outstanding City defence.
City could easily have increased the lead, Stamp headed straight at Gore, and Twiss and Brady both brought out good saves from the Barnet shot-stopper.
Wright said: "We were outstanding. I thought we destroyed them in the first half. Our performance deserved the goal that Alex Smith scored.
"Sure they came into it in the second half, but we were always in control and this performance shows how good we can be at times."
The City boss added "The crowd responded well to us, which was more than pleasing, and I was extremely pleased with every single player."
CHESTER CITY: Brown, Collins, Guyett, Ruffer, McIntyre, Davies, Carey, Smith (Twiss 89), Brady, Clare (Harris 89), Stamp. Subs: Rapley, Foster, Heard.
Referee: Robert Shoebridge (Derbyshire)