A driving method is used for driving the voltage-driven circuit of an organic light emitting diode display device. Within a frame period, data voltage is set to a negative data voltage for a pre-defined interval within a frame period. When the scanning voltage is set to a high voltage level, the negative data voltage is applied to the gate terminal of a driving thin film transistor. The gate remains at the negative gate voltage for a maintenance period and the driving thin film transistor has a constant threshold voltage. Hence, this invention provides a mechanism for maintaining a constant luminance from the organic light emitting diode despite an extended use, thus effectively increasing the working life of the display device.