The Bulls managed just two shots on target, both late in the second half, and one off-target. Their hosts had 15 shots in total, nine on target.
Swindon won the corner count, 7 to 4, and committed more fouls 13 to 6.
The gate was reported as 7,129 with about 350 in the away end.
The Bulls are now 23rd in the form table after five straight losses. Only Yeovil, with two draws from the last six games, have earned fewer points.
Bottom of League One:
15 Hartlepool 39 -10 43
16 Carlisle 38 -13 42
17 Leyton Orient 38 -13 42
18 Crewe 38 -17 42
19 Northampton 36 1 41
20 Swindon 38 -4 41
21 Yeovil 37 -25 39
22 Brighton 37 -18 35
23 Hereford 36 -27 30
24 Cheltenham 37 -36 29
Peter Gulasci and, perhaps surprisingly, Febian Brandy was both awarded an eight for their performances.