A balloon wrapping apparatus is disclosed by which a balloon can be accurately positioned and inserted in relation to a pleating section. The balloon wrapping apparatus for wrapping a balloon provided at a distal portion of an elongated shaft includes: a pleating section that forms the balloon with wing shapes; a folding section that folds the wing shapes formed in the balloon along a circumferential direction; a support base that supports a portion other than the distal portion of the shaft, and that makes the distal portion of the shaft insertable into the pleating section and the folding section; and a core metal member to be inserted in the shaft. The core metal member is inserted in the shaft from a distal end position of the balloon to at least the proximal side of a proximal end position of the balloon.