A drive device for a fuel injection device, wherein at fuel injection device valve open time, high voltage is applied to the fuel injection device from a high voltage source having voltage boosted to be higher than a battery voltage, supplying current to the fuel injection device, the application of high voltage from the high voltage source is then stopped, so that the current supplied to the fuel injection device is lowered to a current value at which the open state of the valve cannot be maintained, and then at the stage for switching the supplied current to a maintenance current another high voltage is applied from the high voltage source.