A point was enough to send Cheltenham top of League Two as Kaid Mohamed's header pegged back Hereford.
Delroy Facey put the hosts ahead after 12 minutes when he nodded home Benoit Dalibard's cross from close range.
Nicky Featherstone saw his shot cleared off the line shortly afterwards as the Bulls looked to extend their lead.
Mohamed glanced in the equaliser before half time to send the Robins a point clear of Crawley, who have two games in hand on the Robins.
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Hereford United manager Jamie Pitman told BBC Hereford & Worcester:
"I thought we were the better side in the first half, and they were the better in the second half.
"In this league, if you keep defending you always get a chance and I'd back Tom Barkhuizen to finish his chance, maybe luck wasn't with us today.
"Sometimes you find we drop off in the second half, when we're defending the slope, and it becomes difficult.
"Throughout this week I asked the players to work hard. I thought they were exceptional today in their work rate."
Cheltenham Town manager Mark Yates told BBC Radio Gloucestershire:
"It's a good point, especially with the record we have over the last few years against Hereford.
"Today's point showed a lot of character, and we showed that we got a bit of self-belief back.
"We showed we still want to play the ball around, move it and get things in the box.
"We're top of the league, let's not forget that fact and its getting towards the end of the season where it gets busier."