Swindon's best chance came on 56 minutes when Darren Dykes 25 yard shot beat the keeper, but hit the bar.
Apart from this Swindon had very few chances with Sam Parkin looking quiet all game.
After Huddersfield's goal Swindon keeper Bart Griemink came up for two last minute corners, but was unable to do a "Jimmy Glass" and score.
The defeat leaves Swindon 13th in the table with 4 games left to play, on 51 points. This should be enough to stay up, but we really need at least 55 points to be sure. Swindon travel to face Crewe away on Saturday.