The invention relates to a cartridge (1) for recycling medical waste, which includes a body (2) of recyclable material with a closed shape, the inner structure of which is divided into multiple compartments that define chambers (3) closed by each one of the ends thereof, with axes that are parallel to one another and to the axis of the cartridge (1) and a heat-shrinkable plastic material (4) which covers the cartridge (1) at least on the sides. The invention relates to a waste container (5) which includes at least one waste-recycling cartridge (1). The invention also relates to a method for compacting and sterilising medical waste by using a recycling cartridge (1) and a waste container (5), wherein the phases that make up said method include inserting the recycling cartridge (1) in a container, filling the cartridge, inserting the two elements in a sterilisation autoclave (10), in which the cartridge (1) and the waste are sterilised, and shrinking the heat-shrinkable plastic material and compressing the recycling cartridge (1).