In difficult conditions due to the falling snow, neither side were able to break the deadlock but the 0-0 scoreline was viewed positively by both Bees boss Edgar Davids.
The visitors went closest to winning it as Kaid Mohamed crashed a shot against a post after good work by Jermaine McGlashan shortly after the break.
Barnet's best moment fell to midfielder John Oster but he fired just wide of Scott Brown's goal.
Davids was left satisfied with a seventh home game unbeaten.
"The game should absolutely have gone ahead - I've played in worse," said the former Holland international. "We did quite well against a team that is higher in the table and we knew it would be hard.
"I have great faith in this team and we were unlucky not to win. We put pressure on them and I'm happy that we did that.
"They are a strong side and it was hard to play on this pitch. You have to bring more to the table against a good team and we did well. At the end I think we were the better team.
"We are making a lot of progress and it's easy to stop playing football, but we kept playing the way we want to. It's about character and my team showed big heart.
"Every game is a final now and we will take it one game at a time. We have to get our points and get good results. It's do or die for us and there's no other way."