For supplying machines, namely packaging machines, with web-like packaging material which is present in the form of a reel, a reel store (15) is fitted out with a portal (16), in which the reels (10 . . . 13) are kept on pallets (14). A portal robot (20) with an articulated arm (27) transfers reels (10 . . . 13) as required to winding subassemblies (29 . . . 32) arranged outside the portal (16). From these winding subassemblies, the material webs are transported toward opposite sides, in the direction parallel to the longitudinal extent of the portal (16), to the consuming machines.