A method for operating a high pressure discharge lamp, with the high pressure discharge lamp being operated by a current inverter with a square wave lamp current having a positive phase with positive current flow and a negative phase with negative current flow, and with the current inverter being controlled by a control arrangement wherein the method comprises the steps of measuring a value for the positive current flow representing the lamp wattage or the square wave lamp current, measuring a value for the negative current flow representing the lamp wattage or the square wave lamp current; calculating a predetermined setpoint value in each case from a guide variable of a lamp wattage or of the square wave lamp current and the measured value for the phase with positive current flow; calculating a predetermined setpoint value in each case from a guide variable of a lamp wattage or of the square wave lamp current and the measured value for the phase with negative current flow; and outputting the two predetermined setpoint values to the current inverter.