David Lucas only lasted until the ten minute mark before having to go off injured, and was replaced by Phil Smith.
The first half progressed without any goals, or major instances.
After a better start to their second half Charlie Austin put Swindon in the lead on 69 minutes with a goal from 10 yards out beating Brezovan in the Brighton goal.
Overall an average game, but a good win for Swindon which keeps them in 6th place going into Tuesday nights trip to Southampton.