Charlie Barnett and Kevin Long both saw red for Accrington but Stanley still held on for a goalless draw against Barnet.
Accrington were reduced to 10 men just before the break when Barnett lunged in on Bees striker Steve Kabba.
But it was the visitors who came closest to scoring through Luke Joyce and Ian Craney.
And 10 became nine when Long was dismissed for holding back Charlie Taylor late on.
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Barnet boss Lawrie Sanchez told BBC London 94.9:
"We didn't play well, our home fans haven't seen the form we have produced on the road.
"We didn't create and missing a player like Izale McLeod, you can't not miss a player of that quality, but we didn't have that bit of zip to us today.
"We haven't got the biggest squad in the world and we had run out of ideas to be fair."