Disclosed is a method of driving a plasma display panel and apparatus thereof enabling to minimize power consumption for driving the plasma display panel 1. The present invention includes the steps of generating a reset discharge by supplying ramp waves so as to equalize cells in the plasma display panel in a reset period, supplying selected specific ones of the cells with a scan voltage pulse swinging between a lowest voltage levels of the reset discharge and a data pulse of a voltage level lowered as much as a negative voltage level of the scan voltage pulse, generating an address discharge by the scan voltage pulse and data pulse applied to the selected cells in an address period, and maintaining the address discharge for a sustain period.