A medicine dispensing device includes a shell-like base unit, a shell-like cassette with a number of compartments for storage of medicines which is rotatable relative to the base unit, a unit for rotating the cassette relative to the base unit at predetermined times, a lid firmly connected to the base unit, and an aperture situated in the lid in such a way as to be movable to become central to any desired compartment of the cassette when the cassette is rotated relative to the base unit and the lid. A hatch is provided close to the aperture and can assume a position in which the aperture is closed and a position in which the aperture is exposed. The hatch is pivotable relative to a pivot axis. The hatch has a rear edge which has an extent in the circumferential direction of the device.