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 and his opposite number Mark Yates. The visitors went closest to winning it as Kaid Mohamed crashed a shot against a post after good work by Jermaine McGlashan.
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."
The Bees moved a point further away from the drop zone thanks to the draw and York's defeat at Torquay, and are now three clear of the bottom two teams.
Cheltenham fell to fifth in the table but moved a point closer to the top three, pleasing Yates. He said: "I'm proud and pleased we haven't got beaten as this is a tough place to come and the conditions were difficult as well for both sides.
"We wanted to give our strikers a little bit more to work with and we did that in the last 20 minutes. I wanted us to make space in behind them and use the wings, and we did that for most of the game.
"We couldn't quite finish it off and as the game went on we got a bit bogged down with the pitch. We had to make a few changes as the game went on and that gave us a bit more of a threat in the wide areas.
"I felt a bit for the boys and the paying supporters as well because even though that could be an important point for us, it wasn't the most entertaining game to watch because of the weather and conditions."