Abstract: Disclosed herein is a plastic wall-mounted dispenser primarily for coreless rolled sheet material and in which the plastic material, typically polypropylene, from which the dispenser is made is somewhat yieldable under stress. The dispenser is mounted in cantilevered relationship to the wall and the weight of the dispenser and its contents and pressures exerted thereagainst by the act of dispensing sheet material therefrom causes stresses which tend to twist the dispenser and open the latches by which the base and cover sections of the dispenser are latched together. To rigidify the structure, the base portion of the dispenser is formed in the shape of a hollow truncated pyramid which gives it an inherently strong beam configuration. The cover portion may also be formed in part in the shape of a hollow truncated pyramid.