Both teams made a decent start, but it was the hosts who had the better chances in the first half.
Craig Bellamy then saw his effort tipped onto the bar, before the Pole made a fine double save to frustrate him once more.
The Bluebirds were hit on the counter just two minutes before the break, as Andrea Orlandi turned home from close range to give the visitors the lead.
The second half continued in a similar pattern, with the hosts pressing forward in search of an equaliser.
However, they struggled to find a way past Kuszczak, who repelled everything that Cardiff could throw at him.
The Icelandic international got on the end of Andrew Taylor's driven cross, but could not direct his effort on target.