A plasma display apparatus and a method of driving the same are disclosed. The plasma display apparatus includes a plasma display panel including a first electrode and a second electrode, and a driver. The driver supplies a rising signal and a falling signal to the first electrode during a reset period, and supplies a positive polarity signal to the second electrode during the reset period. Further, the driver supplies a sustain bias signal to the second electrode after the passage of a predetermined duration of time from an end time point of the supplying of the positive polarity signal.