In a plasma processing apparatus having an electrostatic chuck for holding a semiconductor wafer by an electrostatic adsorption force and a DC power supply for applying an electrostatic adsorption voltage to the electrostatic chuck, abnormal discharge in plasma is suppressed by providing the apparatus with a signal detector that detects a foresee signal that foresees occurrence of abnormal discharge in plasma, and a controller that controls ESC leakage current based upon the foresee signal. If the foresee signal is outside a prescribed range, control is exercised so as to reduce the absolute value of the electrostatic adsorption voltage, thereby suppressing the occurrence of an abnormal discharge.