Second-half goals from Neal Bishop and Michael Leary earned Barnet a deserved win at the Crown Ground this afternoon.
The Bees coped with the windy conditions far better and condemned their struggling hosts to their sixth defeat in seven games.
Paul Fairclough's troops dominated the match and were never really under threat, the home side meekly conceding defeat.
Barnet made a number of changes from the side that lost to Rochdale on Tuesday.
Ashley Carew and Kenny Gillet came in at right and left-back respectively, while Josh Wright returned to the midfield, with Cliff Akurang starting up front.
The Bees might have taken the lead within two minutes with a little bit of luck. A clearance rebounded off Albert Adomah and drifted towards the unguarded goal, but the ball finished wide, much to the relief of Stanley keeper Kenny Arthur.
Accrington's first chance fell to Ian Craney, his shot proving no problem for Lee Harrison.
At the other end, Adam Birchall tried his luck from the angle of the box, the ball sailing just over.
The fierce wind made it difficult for both sides, the ball often racing away into touch.
On 14 minutes, Barnet hit the woodwork. Jason Puncheon's free-kick eluded everyone and bounced off the foot of the post, with Birchall unable to latch on to the loose ball.
Wright was also just inches wide from a free-kick, the visitors trying to use the wind, behind them in the first half, to their advantage.
It was a bright start from the Bees, Adomah firing in another shot, only to see his well-struck effort go straight to Arthur.
The game then entered a quiet spell, with little to get excited about. Accrington's James Harris and Akurang were booked for an altercation on 37 minutes, the Barnet striker claiming he had been head-butted. There was definite contact, but the referee felt Akurang had made a meal of it.
That proved to be the final incident of the first half, a half played almost entirely in the Stanley half, such was the strength of the wind and Barnet's dominance.
Accrington took just two minutes of the second half to make the most of the conditions, now in their favour. Shaun Walley floated over a cross-cum-shot, the ball landing on the roof of the net.
Walley then saw a free-kick flash just the wrong side of the far post.
But it was Barnet who scored against the run of play on 54 minutes. Birchall saw a shot blocked, but he latched on to the loose ball and crossed for the incoming Neal Bishop to head home off the underside of the bar. It was a just reward for the visitors' first-half efforts.
Stanley were almost level on 62 minutes, Whalley's deflected drive beating Harrison, but crashing against the crossbar.
In trying to pick up the pieces, Bishop was injured and played no further part in the game, the Barnet goalscorer carried off on a stretcher.
Midway through the half, Arthur had to dive to his left to gather a Puncheon free-kick, as the Bees looked to put the game to bed.
Adomah also had a chance, the winger expertly taking a Wright ball and lifting it over the last defender, only to slice his shot horribly wide with just the keeper to beat.
Barnet doubled their lead on 82 minutes. Puncheon's corner was not properly cleared and Akurang hooked the ball over his own head to the far post, where skipper MIcheal Leary rose to nod into the net from close in. It was the acting skipper's first goal of the campaign.
Accrington almost pulled one back five minutes from time, but Harrison was out quickly to block Craney in a one-on-one situation.
BARNET (4-4-2): Harrison; Carew, Burton, Leary, Gillet; Adomah, Bishop (Parkes 66), Wright, Puncheon; Birchall, Akurang. Subs not used: Nicolau, St Aimie, Grazioli, Thomas.
Attendance: 1,288.
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