The large contingent from Woking were devastated that the Cards were unable to score against a Barnet team playing with their centre-back in goal for the last 20 minutes.
It was Barnet who had the early attacks when Junior Agogo sliced wide from ten yards after a good pass from Neil Midgley.
Moments later Craig Pope tried a left-footed 25-yard shot that was easily saved by goalkeeper Ashley Bayes.
At the other end Scott Canham was creating problems for the Barnet defenders and Jamie Campbell tried a long-range shot that was easily saved by Ricky Millard.
A header from Raphael Nade went wide of the post after Lee Flynn, the Barnet captain was booked from tripping Chris Sharpling.
Canham again took a corner for the visitors and Chris Collins' header was well saved by Millard.
For Barnet Mark Gower was playing well in midfield and the Frenchman Guy Lopez hit a tremendous shot from 30 yards that hit the post and rebounded into play with the goalkeeper beaten.
In the second half Woking pushed more players forward as they were desperate for the three points.
It was in the 71st minute when Millard was dismissed for a handball offence outside the area.
Barnet did not have a substitute goalkeeper and therefore had to put centre-back Lee Pluck in goal. His performance was outstanding to earn the man of the match.
He brought off a fine save from Amos Foyewa and again was equal to shots from Canham and Martin Williams.
Flynn had a marvellous opportunity to break the deadlock when he broke through into the visitors' penalty area and with the keeper advancing he blazed wide from 12 yards.
Agogo headed just wide of the post after keeper Bayes had lost the ball.
In the closing moments the Cards pushed five players forward and substitute Williams had an opportunity to score when he blazed over the bar from ten yards.
Woking are now unbeaten in nine games and must now win in their final match with Telford to avoid the drop.