Abstract: Disclosed is a pulse damper using a composite spring device for eliminating pulse waves in a plunger pump for supplying fuel, which includes a spring body, and a body for receiving an O-ring spacer supported by an internal O-ring cap, wherein a low pressure coil spring and a high pressure disc spring are arranged in a line inside the spring body so that the low pressure oil spring primarily works and then stops by making a low pressure spring cover and a low pressure spring pad contact a low pressure spring stopper, and secondarily the high pressure disc spring works and then stops by making a high pressure spring pad mounted on one end of a spring guide shaft connected to a piston contact a high pressure spring stopper.