A plasma display apparatus and a method of driving the same are disclosed. The plasma display apparatus includes a plasma display panel comprising a first electrode and a second electrode, and a driver. The driver supplies a ramp-up signal in which a voltage gradually rises to the first electrode in a setup period of a reset period, supplies a ramp-down signal in which a voltage gradually falls to the first electrode in a set down period after the setup period, and supplies at least one reset stabilization signal to the first electrode in a period before the ramp-down signal is supplied after the ramp-up signal is supplied.