The present invention is directed to a medical transport carrier, as well as a medical waste disposal container. The medical transport carrier includes a carrier tray and a medical waste disposal container. The carrier tray includes a supply area adapted for containing medical supplies. The medical waste disposal container is interengagably and removably mated with the carrier tray and is located at a location remote from the supply area. The present invention is also directed to a medical waste disposal container adapted for engaging with a carrier tray having a supply area for containing medical supplies. The medical waste disposal container is interengagably and removably matable with the carrier tray and is adapted for containing medical waste at a location remote from the supply area of the carrier tray.