To provide a manufacturing method of a superconducting radio-frequency acceleration cavity used in a charged particle accelerator enabling the manufacturing with few waste amounts of the niobium material at low cost in a short time, the manufacturing method has each of the steps of (a) obtaining an ingot made from a disk-shaped niobium material, (b) slicing and cutting the niobium ingot into a plurality of niobium plates each with a predetermined thickness, by vibrating multiple wires back and forth while spraying fine floating abrasive grains with the niobium ingot supported, (c) removing the floating abrasive grains adhered to the sliced niobium plates, and (d) performing deep draw forming on the niobium plates and thereby obtaining a niobium cell of a desired shape.