The present invention relates to a plasma display apparatus, and more particularly, to a plasma display apparatus and driving method thereof, in which an afterimage erroneous discharge generated when the apparatus is driven can be prevented and damage to driving circuits can be prevented. The plasma display apparatus of the present invention comprises a plasma display panel in which a plurality of sustain electrode pairs comprising scan electrodes and sustain electrodes is formed, a driver for driving the sustain electrode pairs, and a driving pulse controller that controls the driver to sequentially apply first and second falling waveforms to the scan electrodes during a reset period, and controls the driver to apply a positive waveform whose voltage level is less than the voltage level of a sustain waveform to the sustain electrodes while the first falling waveform is applied. According to the present invention, an afterimage erroneous discharge can be prevented. Spots in an implemented monochromatic pattern can be improved. A distortion phenomenon of a display screen can be prevented. Hardware load cam be reduced by reducing EMI generating when a plasma display apparatus is driven. In addition, a complementary afterimage of implemented images can be prevented.