In an assembly for filling medicine dispensers (11) with administering units (12/i) which are to be taken daily by patients, a deblistering apparatus (39) is provided for the separating, automatic removal of the medicines from the respective blister pack, the blister film (33) of which can be subjected to a notching or cutting pretreatment, only after which the medicine is removed. A transport device (18) is provided which supplies the medicine dispensers (11) to a feeding device, at which the individual medicines can be loaded into receiving compartments (14/1 to 14/4) of the medicine dispenser (11). The assembly comprises modules (17/i) which have in each case a blister shaft (62), a punching device and a feeding device and are arranged along the transport device (18) at spacings from one another which correspond to the spacing of the receiving compartments (14/i) of the dispensers (11/i) or to an integral multiple of said spacing.