A wrapping system for plant material utilizes a first wrapping material dispenser disposed along a first upper periphery of a compacting chamber, and a second wrapping material dispenser opposite the first dispenser, for automatically dispensing sheets of wrapping material in overlapping relation over the chamber and plant material therein. The system includes apparatus for joining the overlapping sheets together. The system is automatically operable to dispense sheets of the material in overlapping relation over the chamber and join them for receiving a flow of the plant material thereon. Before or while the plant material is received, the sheets are further dispensed to move downwardly in the chamber to receive and wrap about the plant material. The system then dispenses opposite ends of the sheets in overlapping relation over the material and joins the ends to complete the wrapper.