A plasma display device includes a plasma display panel (PDP) and a driving method for driving the PDP. The PDP includes discharge cells that are formed by scan electrodes, sustain electrodes, and address electrodes. The driving method divides a frame of the plasma display panel into a plurality of subfields having respective weights in which gray scales are represented by a combination of the subfields. The plurality of subfields are divided into a first group and a second group. In an address period of a subfield of the first having a lowest weight subfield of the plurality of subfields, the method applies a scan voltage and an address voltage respectively to the scan electrode and the address electrode of a discharge cell to be selected from the discharge cells. The scan voltage is applied to the scan electrode and the scan electrode is floated.