Abstract: An apparatus and method for driving a plasma display including first and second electrode driving units for applying a driving waveform to first and second electrodes formed in parallel on a front panel are disclosed. The second electrode driving unit applies a first bias voltage having a certain size not greater than a sustain voltage to the second electrode during a set-up period. That is, the second electrode driving unit does not apply a voltage of a ground level but apply a voltage having a certain size not greater than the sustain voltage, particularly, a voltage of a size of about a half of the sustain voltage, to reduce a potential difference between a scan electrode and a sustain electrode to thereby prevent occurrence of an erroneous discharge.