A drug dispensing apparatus includes a drug dispensing unit and a control unit. The apparatus dispenses an individual drug dose or doses to a common collection area from one or more drug dispensing cartridges for packaging. The drug dispensing unit of the apparatus is internally provided with a plurality of shelves, each arranged one upon another. A plurality of drug dispensing cartridges are removably disposed side by side on each of the shelves. Each drug dispensing cartridge accommodates a plurality of individual identical drug doses. Each dosage is discharged from the cartridge, one at a time, through rotation of rotary members in compliance with input information from the control unit.