The first half saw Swindon having plenty of the play, but no goals.
On 65 minutes Sean Morrison had a header cleared off the line only for Charlie Austin to score moments later.
Ten minutes later Crawley equalised with a goal from Matt Tubbs, to earn the Blue Square Premier side a replay at the County Ground on Tuesday 7th December.
Overall a draw was a fair result with Swindon having limited chances in front of of goal, as Crawley defended well.