Barnet missed the chance to secure League Two safety with a narrow defeat which left them facing a vital match at fellow strugglers Grimsby on Saturday.
Substitute Billy Kee scored the only goal as he tapped in a cross from Michael Symes after 70 minutes.
Barnet goalkeeper Jake Cole tipped over a Bobby Grant effort and denied Johnny Flynn, while Gary Breen also cleared a Sean McConville effort off the line.
Symes hit the post in the final minute as Stanley secured a deserved win.
Barnet mustered little up front on their fifth trip to Accrington this season - this game had been postponed four times while they also faced Stanley in the FA Cup.
90:00+4:04 The referee brings the game to a close.
90:00+2:20 Free kick awarded for a foul by Albert Adomah on Dean Winnard. Dean Winnard restarts play with the free kick.
90:00+1:47 Billy Kee is caught offside. Jake Cole takes the free kick.
90:00+0:52 Gary Breen takes the direct free kick.
90:00+0:52 Booking The referee shows Andrew Procter a yellow card for unsporting behaviour.
90:00+0:44 Free kick awarded for an unfair challenge on Albert Adomah by Andrew Procter.
89:25 Effort from the edge of the area by Michael Symes strikes the post.
88:44 Joe Devera gives away a free kick for an unfair challenge on Billy Kee. Robert Grant takes the free kick.
87:16 Billy Kee has shot on goal from just outside the area which goes wide of the right-hand upright.
85:43 Mark Hughes takes a shot. Save by Ian Dunbavin.
84:53 Foul by Daniel Leach on Michael Symes, free kick awarded. Ian Dunbavin takes the free kick.
84:16 Gary Breen takes the free kick.
84:16 Substitution Luke Medley joins the action as a substitute, replacing Kenny Gillet.
84:16 Andrew Procter handles the ball and concedes a free kick.
83:55 Andrew Procter takes a shot. Save by Jake Cole.
83:28 Robert Grant takes a inswinging corner from the right by-line to the near post, Kenny Gillet makes a clearance.
81:52 The ball is crossed by Albert Jarrett, Joe Devera takes a shot. Save by Ian Dunbavin.
81:52 Booking Robert Grant booked.
81:44 Unfair challenge on Albert Adomah by Robert Grant results in a free kick.
80:39 Albert Adomah produces a cross, clearance by Chris Turner.
80:23 The ball is swung over by Joe Devera.
79:47 Albert Jarrett crosses the ball.
77:48 Chris Turner sends in a cross.
76:59 Peter Murphy concedes a free kick for a foul on Paul Furlong. Kenny Gillet restarts play with the free kick.
76:06 Substitution Albert Jarrett replaces Edward Upson.
73:46 Free kick awarded for an unfair challenge on Paul Furlong by Jonathan Flynn. Free kick taken by Kenny Gillet.
73:02 Dean Winnard sends in a cross, save made by Jake Cole.
69:26 Assist by Michael Symes.
69:26 GOAL - Billy Kee:Accrington Stanley 1 - 0 Barnet Billy Kee gets on the score sheet with a goal from deep inside the penalty box low into the middle of the goal. Accrington Stanley 1-0 Barnet.
67:34 Tom Lees produces a cross, Jake Cole makes a save.
65:57 Gary Breen crosses the ball in from the free kick, Tom Lees manages to make a clearance.
65:57 Booking Dean Winnard is cautioned by the ref for unsporting behaviour.
65:42 Free kick awarded for a foul by Dean Winnard on Albert Adomah.
65:12 Foul by Albert Adomah on Dean Winnard, free kick awarded. Free kick taken by Ian Dunbavin.
64:47 Dean Winnard crosses the ball.
64:27 Short corner taken by Chris Turner.
63:39 Substitution Billy Kee on for Sean McConville.
61:51 Robert Grant takes the inswinging corner, Jake Cole makes a save.
60:08 Inswinging corner taken from the left by-line by Edward Upson, Shot by Paul Furlong from deep inside the penalty area misses wide to the left of the target.
58:20 Edward Upson produces a right-footed shot from just outside the area that goes harmlessly over the target.
56:33 Free kick awarded for an unfair challenge on Joe Devera by Dean Winnard. Edward Upson crosses the ball in from the free kick, clearance made by Chris Turner.
54:23 Foul by Edward Upson on Tom Lees, free kick awarded. Free kick taken by Tom Lees.
54:01 Robert Grant has a headed effort at goal from deep inside the area missing to the right of the goal.
53:27 The ball is delivered by Albert Adomah, save by Ian Dunbavin.
51:41 Tom Lees produces a left-footed shot from just outside the box that goes wide left of the target.
51:33 Michael Symes sends in a cross, Jake Cole makes a save.
50:44 Foul by Michael Symes on Kenny Gillet, free kick awarded. Direct free kick taken by Jake Cole.
49:52 Michael Symes challenges Daniel Leach unfairly and gives away a free kick. Jake Cole takes the direct free kick.
48:48 The assistant referee flags for offside against Chris Turner. Free kick taken by Jake Cole.
48:40 Tom Lees produces a cross, clearance made by Gary Breen.
48:10 Tom Lees sends in a cross, clearance made by Gary Breen.
47:42 Ian Dunbavin restarts play with the free kick.
47:42 Booking Paul Furlong shown a yellow card.
47:12 Foul by Paul Furlong on Peter Murphy, free kick awarded.
45:38 Paul Furlong fouled by Jonathan Flynn, the ref awards a free kick. Kenny Gillet takes the free kick.
45:01 The referee starts the second half.
Half Time
45:00+2:04 The players leave the pitch at half time.
45:00+1:43 Jonathan Flynn fouled by Paul Furlong, the ref awards a free kick. Free kick taken by Ian Dunbavin.
45:00+0:50 Michael Symes takes a shot. Kenny Gillet gets a block in. Corner taken by Robert Grant from the right by-line played to the near post, Headed effort from inside the penalty area by Sean McConville misses to the right of the target.
45:00+0:21 Kenny Gillet concedes a free kick for a foul on Michael Symes. Dean Winnard takes the direct free kick.
41:26 The ball is crossed by Chris Turner.
40:29 Michael Symes takes a shot. Jake Cole makes a save.
36:48 Tom Lees crosses the ball from the free kick right-footed from right channel, Gary Breen manages to make a clearance.
36:48 Booking The referee shows David Livermore a yellow card for unsporting behaviour.
36:26 David Livermore challenges Tom Lees unfairly and gives away a free kick.
35:36 Foul by Peter Murphy on Kenny Gillet, free kick awarded. Free kick taken by Kenny Gillet.
33:22 Edward Upson crosses the ball in from the free kick.
33:22 Booking Peter Murphy is given a yellow card.
33:08 Peter Murphy gives away a free kick for an unfair challenge on Kenny Gillet.
32:14 Robert Grant fouled by David Livermore, the ref awards a free kick. Free kick crossed by Robert Grant, Jake Cole makes a save.
30:12 The referee blows for offside. Free kick taken by Jake Cole.
28:17 Substitution Darran Kempson leaves the field to be replaced by Peter Murphy.
27:18 David Livermore takes a shot. Ian Dunbavin makes a save.
27:08 The ball is delivered by Joe Devera, Darran Kempson manages to make a clearance.
26:27 The offside flag is raised against John O'Flynn. Ian Dunbavin takes the free kick.
25:59 Free kick awarded for a foul by Tom Lees on Edward Upson. Free kick crossed right-footed by Mark Hughes from left wing, clearance by Chris Turner.
25:03 Robert Grant has an effort at goal from outside the penalty box missing to the wide right of the target.
24:47 Joe Devera crosses the ball, clearance made by Darran Kempson.
23:30 The official flags Michael Symes offside. Free kick taken by Kenny Gillet.
19:08 Darran Kempson challenges John O'Flynn unfairly and gives away a free kick. Jake Cole takes the direct free kick.
18:05 Sean McConville takes a shot. Clearance by Gary Breen.
17:46 A cross is delivered by Kenny Gillet, save by Ian Dunbavin.
16:05 Dean Winnard gives away a free kick for an unfair challenge on Albert Adomah. Gary Breen takes the direct free kick.
14:56 Free kick awarded for an unfair challenge on Tom Lees by Paul Furlong. Tom Lees takes the free kick.
14:05 The assistant referee signals for offside against Chris Turner. Jake Cole takes the free kick.
13:32 Chris Turner fouled by Joe Devera, the ref awards a free kick. Dean Winnard takes the free kick.
13:08 Unfair challenge on Daniel Leach by Michael Symes results in a free kick. Jake Cole restarts play with the free kick.
11:34 Free kick awarded for an unfair challenge on Chris Turner by Mark Hughes. Free kick crossed by Dean Winnard, Daniel Leach manages to make a clearance.
11:16 Foul by Gary Breen on Michael Symes, free kick awarded. Andrew Procter restarts play with the free kick.
10:50 Free kick awarded for a foul by Michael Symes on Daniel Leach. Jake Cole takes the free kick.
10:13 Mark Hughes concedes a free kick for a foul on Andrew Procter. Free kick taken by Dean Winnard.
9:46 Edward Upson has an effort at goal from just inside the box that misses to the right of the target.
8:59 The ball is sent over by Sean McConville, save made by Jake Cole.
7:55 The offside flag is raised against Andrew Procter. Jake Cole restarts play with the free kick.
6:38 David Livermore gives away a free kick for an unfair challenge on Robert Grant. Shot on goal comes in from Robert Grant from the free kick, Jake Cole makes a save. Inswinging corner taken by Chris Turner from the left by-line, clearance made by Gary Breen.
5:18 The offside flag is raised against Robert Grant. Jake Cole takes the free kick.
1:19 The official flags Paul Furlong offside. Indirect free kick taken by Ian Dunbavin.
0:11 John O'Flynn produces a cross.
0:00 The game gets underway.
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