A stretch wrap dispenser includes a support for a roll of stretch wrap packaging material and a core which permits the roll to rotate. The support has an indexing portion with an outer radial area for contacting and indexing one axial end of the stretch wrap packaging material at a predetermined axial position. It also has an inner radial area for permitting any portion of the core that extends beyond the one axial end of the stretch wrap packaging material to extend beyond the predetermined axial position. Relative rotation is provided between dispenser and the load to wrap the stretched sheet around the load.