A balloon wrapping apparatus and a balloon wrapping method are disclosed by which a balloon can be accurately positioned in relation to a pleating section and to a folding section. The balloon wrapping apparatus for wrapping a balloon of a balloon catheter provided with the balloon at a distal portion of an elongated shaft includes: a pleating section having a plurality of blades aligned with space parts therebetween in a circumferential direction, and forms the balloon with wing shapes projecting in radial directions by clamping the balloon in the space parts by moving rotationally the blades and a folding section having a plurality of blades aligned in a circumferential direction, and that folds the wing shapes formed in the balloon in the circumferential direction by moving rotationally the blades and a support base that supports a part of the shaft which part is on a proximal side of the balloon.
