A method of driving a transistor, a driving element using the same, and a display panel and a display apparatus having the driving element are provided. The method for driving a transistor comprises: receiving a bias voltage at a first electrode of a driving transistor; outputting a first signal having a first polarity from a first electrode of a switching transistor to a capacitor and a control electrode of the driving transistor when a select line is activated for driving an organic display element; and outputting a second signal having a second polarity from the first electrode of the switching transistor to the capacitor and the control electrode of the driving transistor when the select line is activated for dissipating a charge in the driving transistor and for deactivating the organic display element.