Barnet picked up a point to move out of the relegation places despite having player-coach Edgar Davids sent off.
The former Dutch international was dismissed for fouling substitute James Beattie, making his Accrington debut, to earn a second yellow card.
Mark Byrne had brought Barnet level from the penalty spot after the referee ruled Ian Dunbavin moved too early in saving his first attempt.
Romuald Boco had given Stanley the lead with his sixth goal of the season.
The Benin international followed up after Graham Stack had blocked his initial effort to mark his 100th appearance for the club in style.
Accrington had a chance to seal a fourth away win of the season but James Gray headed over and Byrne rescued Barnet after Luke Joyce was penalised for bringing down Ricky Holmes.
Live Text Commentary
Full Time The referee brings the game to a close.90:00 +2:05
Outswinging corner taken by Lee Molyneux from the left by-line.89:25
Headed effort from deep inside the penalty area by Jonathan Nurse misses to the right of the target.87:35 Substitution
Substitution Andrew Yiadom is brought on as a substitute for Ricky Holmes.84:17
Direct free kick taken by Lee Molyneux.84:17 Dismissal
Dismissal Edgar Davids sent off.84:09
Foul by Edgar Davids on James Beattie, free kick awarded.82:44
James Beattie takes a shot. Blocked by Krystian Pearce.79:56
The assistant referee flags for offside against Peter Murphy. Indirect free kick taken by Graham Stack.77:53
Romuald Boco sends in a cross, Graham Stack makes a save. Barry Fuller gives away a free kick for an unfair challenge on Romuald Boco. Lee Molyneux crosses the ball from the free kick left-footed from left channel, Jonathan Nurse manages to make a clearance.77:53 Substitution
Substitution Will Hatfield goes off and James Beattie comes on.77:53 Booking
Booking Edgar Davids is cautioned by the ref for unsporting behaviour.77:45
Free kick awarded for an unfair challenge on Will Hatfield by Edgar Davids.74:42
The referee penalises Jonathan Nurse for handball. Ian Dunbavin takes the free kick.73:35
Padraig Amond produces a right-footed shot from inside the area that clears the crossbar.70:43
Ricky Holmes provided the assist for the goal.70:43 Goal scored
Goal! - Mark Byrne - Barnet 1 - 1 Accrington Placed penalty scored by Mark Byrne. Barnet 1-1 Accrington Stanley.68:53
Penalty awarded for a foul by Luke Joyce on Ricky Holmes.67:50
Jonathan Nurse gives away a free kick for an unfair challenge on Lee Molyneux. Lee Molyneux takes the direct free kick.67:03
Corner taken by Mark Byrne from the right by-line played to the near post, Padraig Amond makes a clearance.
Luke Joyce concedes a free kick for a foul on Curtis Weston. Graham Stack takes the direct free kick.58:13
Header from deep inside the area by James Gray goes over the bar.55:25
Foul by Will Hatfield on Jonathan Fortune, free kick awarded. Graham Stack takes the free kick.54:15
Will Hatfield gives away a free kick for an unfair challenge on Jonathan Nurse. Barry Fuller takes the free kick.52:22 Goal scored
Goal! - Romuald Boco - Barnet 0 - 1 Accrington Goal scored by Romuald Boco from inside the penalty area to the bottom left corner of the goal. Barnet 0-1 Accrington Stanley.52:05
Romuald Boco takes a shot. Graham Stack makes a save.50:17
Free kick awarded for an unfair challenge on Jordan Brown by Will Hatfield. Jordan Brown takes the free kick.49:27
Edgar Davids takes a shot. Save made by Ian Dunbavin.45:23
Free kick awarded for a foul by Padraig Amond on Barry Fuller. Barry Fuller takes the free kick.45:01
The second half begins.45:01 Substitution
Substitution Jonathan Fortune comes on in place of David Stephens.45:01 Substitution
Substitution Curtis Weston is brought on as a substitute for Clovis Kamdjo.45:00 +2:12 Half time
Half Time The match has reached half-time.43:54
Ricky Holmes takes a shot. Save made by Ian Dunbavin.39:51
The free kick is swung in right-footed by Mark Byrne. Mark Byrne takes a short corner.39:51 Booking
Booking Lee Molyneux goes into the referee's book.39:31
Foul by Lee Molyneux on Jonathan Nurse, free kick awarded.37:20
Lee Molyneux takes the outswinging corner, Header from deep inside the penalty area by Rob Atkinson goes harmlessly over the crossbar.36:31
Mark Byrne takes a shot. Save by Ian Dunbavin.35:12
The referee blows for offside against James Gray. Graham Stack restarts play with the free kick.33:25
Rob Atkinson fouled by Jonathan Nurse, the ref awards a free kick. Free kick taken by Ian Dunbavin.28:53
Free kick awarded for an unfair challenge on Will Hatfield by Edgar Davids. The free kick is swung in right-footed by Lee Molyneux, Jordan Brown makes a clearance.24:46
Inswinging corner taken by Lee Molyneux from the right by-line, Header from deep inside the area by Rob Atkinson goes harmlessly over the crossbar.22:54
The referee blows for offside. Graham Stack takes the indirect free kick.22:14
Shot by Jake Hyde from deep inside the penalty area misses to the right of the target.21:07
Free kick awarded for an unfair challenge on Will Hatfield by Clovis Kamdjo. Peter Murphy restarts play with the free kick.19:33
Mark Byrne takes a inswinging corner to the near post. Mark Byrne takes a inswinging corner to the near post, Dean Winnard makes a clearance.17:29
Free kick awarded for an unfair challenge on Padraig Amond by Clovis Kamdjo. The free kick is swung in right-footed by Lee Molyneux, save by Graham Stack. Will Hatfield challenges Jonathan Nurse unfairly and gives away a free kick. Free kick taken by Barry Fuller.14:49
Ricky Holmes gives away a free kick for an unfair challenge on Romuald Boco. Dean Winnard takes the free kick.13:53
Free kick awarded for a foul by Will Hatfield on Edgar Davids. Direct free kick taken by Jordan Brown.8:43
Jake Hyde gives away a free kick for an unfair challenge on Ian Dunbavin. Ian Dunbavin takes the direct free kick.4:07
Krystian Pearce challenges Padraig Amond unfairly and gives away a free kick. Direct free kick taken by Ian Dunbavin.2:11
The official flags Padraig Amond offside. Free kick taken by Graham Stack.0:27
Ricky Holmes is flagged offside by the assistant referee. Free kick taken by Ian Dunbavin.0:00
The referee gets the game underway.
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