A container for carrying a uniform, fan-folded stack of plastic sheet assemblies and for allowing the assemblies to be conveniently dispensed, one at a time, with minimal risk that the stack will become jammed. The stack of assemblies is retained behind a constriction within an elongated chamber having a corresponding shape and slightly larger size. Pulling the forward-most assembly through a narrow channel and exit slot at the forward end of the container flexes a trailing assembly past the constriction, while the remaining assemblies remain retained behind the constriction. In addition, a shallow recess in a wall defining the narrow channel conformingly receives a plastic sheet assembly in position to be dispensed, with the recess' rear periphery inhibiting the assembly from being moved unintentionally back into the chamber.