The method and the apparatus serve for disinfecting packaging formed at least in part as packaging sleeves closed all the way around. A disinfectant is applied to the packaging. The packaging sleeves are opened in a longitudinal direction of the sleeve in the region of both ends during the disinfection process and are transported through a disinfection tunnel. The disinfectant is applied to the packaging sleeves inside the disinfection tunnel. Along the disinfection tunnel, disinfectant flowing out of an opened end section of a packaging sleeve is introduced into an opened end section of an adjoining packaging sleeve.