Provided is a balloon wrapping apparatus by which a balloon can be accurately positioned and inserted in relation to a pleating section. The balloon wrapping apparatus for wrapping a balloon 52 provided at a distal portion of an elongated shaft 51 includes: a pleating section 2 that forms the balloon 52 with wing shapes; a folding section 3 that folds the wing shapes formed in the balloon 52 along a circumferential direction; a support base 4 that supports a portion other than the distal portion of the shaft 51, and that makes the distal portion of the shaft 51 insertable into the pleating section 2 and the folding section 3; and a core metal member 6 to be inserted in the shaft 51. The core metal member 6 is inserted in the shaft 51 from a distal end position of the balloon 52 to at least the proximal side of a proximal end position of the balloon 52.