Abstract: A wedged dispenser for provisioning tissues and/or wet wipes. The wedged dispenser has a tapered retention wall and a dispensing panel that delineate an interior storage volume. A terminal end of the tapered retention wall allows the wedged dispenser to be utilized in tight, limited space areas, while a widened end opposite the terminal end allows for a larger surface area from which tissues and/or wet wipes are dispensed. The dispensing panel is positioned across the widened end, with a panel opening traversing through the dispensing panel. The panel opening provides access to the interior storage volume and allows tissues and/or wet wipes to be readily dispensed through the dispensing panel. Depending on the desired material to be stored within the interior storage volume, the wedged dispenser is outfitted with either a flexible cover or a lid assembly having a self-contained storage bag, which is positioned about the panel opening.