A fluid-pulsation preventing method and apparatus are disclosed. A fluid is pressure-fed by means of a pump along a path, a flexible pipe is provided in the path, and the volume of the flexible pipe is externally elastically controlled. This external control is such that the sectional area of the flexible pipe is controlled in accordance with pulsation by increasing or decreasing the area depending upon variations in the amount of pulsation, to thereby absorb and prevent the pulsation. This control is achieved using coil springs and rigid plates disposed so that motion of the coil springs deforms the flexible pipe through the rigid plates. The force to be applied to each of the coil springs is set to 5 to 120 Kgf or the spring constant is 0.5 to 3.0 Kgf/mm.