The Bluebirds were looking to bounce back from the humiliating 3-0 defeat against Hull City in midweek and get their promotion campaign back on track.
However, in a match ultimately low on quality and clear-cut chances, Malky Mackay's men seemed to continue to suffer from their Carling Cup hangover as they failed to score for the third successive home game.
The point for Burnley secures The Clarets' first away draw since February 2011 in the same fixture and stretches their winless run to five games.
Cardiff continued with the same starting eleven which lost to Hull City last week while Burnley manager Eddie Howe brought Junior Stanislas back into the starting line-up and handed a debut to Danny Lafferty. The pair replaced Ben Mee who dropped to the bench and top-scorer Jay Rodriguez who failed to recover from a groin strain in time to make the squad.
The away side started well and took control from the kick-off. Ross Wallace linked up with Kieran Trippier on the right wing before the former Sunderland midfielder cut inside and tried a shot from 30 yards out. David Marshall scrambled to his left hand post just in time to turn the ball round the post.
Cardiff looked forlorn at times, stuck in a rut after their Carling Cup final defeat to Liverpool. Mackay's side lacked any impetus in getting forward and looked out of ideas in the final third.
Burnley continued to boss the first half and went close again with David Edgar, Stanislas, the impressive Danny Ings and Wallace all testing David Marshall. The home side were limited to half-chances and pot-shots as they were booed off at half-time.
The second-half started scrappily as neither side could hold on to the ball, but it didn't take long for the way side to take control again. Eddie Howe's men defended very well, with debutant Danny Lafferty particularly impressive.
The home side struggled to find a way into the game, but the introduction of Craig Conway in place of the injured Don Cowie just after the hour mark injected some urgency into their attacks. As the game went on, Cardiff got themselves into the game and started to see more of the ball.
Despite seeing more of the ball, the Bluebirds failed to really test Lee Grant in the Burnley goal. It wasn't until injury time when Rob Earnshaw, a replacement for Kenny Miller, had a clear-cut chance. The former Nottingham Forest striker got on the end of Stephen McPhail's free-kick but could only head wide at the back post.
Cardiff move up to eighth in the Championship on 58 points, just one point behind fourth placed Birmingham. Burnley, now 14th, will be delighted to secure their first away draw of the season and put an end to three-successive defeats away from home.