Abstract: A method of disposing of medical waste is disclosed wherein medical waste generated at a facility such as a hospital, clinic, and/or a doctor's office, after being bagged and sterilized, usually by a steam autoclave, is delivered to a mobile carrier having a shredder or similar device, for finely-dividing the sterilized waste which is then compacted and transferred to a storage area on the carrier where it can be commingled with sterilized shredded medical waste obtained from other facilities having been processed in like manner, before being transported to a sanitary disposal site. A mobile carrier for disposing medical waste in the afore described manner having mounted thereon a shredder, located at one end of the carrier for receiving and finely dividing sterilized medical waste from a facility which generates the waste and a compacting unit coacting with the shredder for compacting and moving the finely-divided waste to a storage area therein.