The present invention relates to a plasma display apparatus, and more particularly, to a plasma display apparatus and driving method thereof, wherein a sustain waveform can be improved. According to the present invention, the plasma display apparatus includes a plasma display panel comprising a plurality of sustain electrode pairs wherein each of the sustain electrode pairs has a scan electrode and a sustain electrode, and a sustain waveform controller for controlling a rising time or a falling time of sustain waveforms supplied to at least one of the sustain electrode pairs according to a temperature of the plasma display panel. The sustain waveform controller controls a time corresponding to a time point at which a sustain discharge is generated, of the rising time and the falling time. The present invention improves a plasma display apparatus and driving method thereof. Accordingly, there is an effect in that erroneous discharge depending on a temperature of a plasma display panel can be prevented.