The present invention includes a method and an apparatus (1) for handling flat material and/or film material wound onto rolls (5) and that serves as packaging material for the packaging of piece goods, bundles, or the like sets of articles. Rolls (5), which are at least partially unwound, are alternately removed from at least one installation position (EB1; EB2) of a packaging machine (3), and in each case a new roll (5) of flat material and/or film material is mounted in the particular installation position (EB1; EB2). After each mounting, an externally arranged layer (15) is extracted from the particular new roll (5) near or in the area of its free end and attached to a section of a material web of a further roll (5) being guided in the packaging machine (3). This is done in a manner such that flat material and/or film material is unwound interruption-free.