A multi-part packaging including at least two packaging sleeves and a sealing film that seals a connection joint between the packaging sleeves is disclosed. One of the two packaging sleeves includes an end region having a reduced diameter that can be inserted into an accommodation region of the other packaging sleeve forming the connection joint that runs in the circumference direction which can be sealed in an air-tight manner by means of the sealing film that is wound onto the connection joint in the circumference direction and sealed thereon. Edges of the sealing film overlap in a coverage region that runs parallel to a longitudinal axis of the packaging sleeves in the axial direction, wherein a first overlap edge conforms to a starting edge of a second overlap edge to form the air-tight seal.