MEDICINE DISPENSING DEVICE for use with a primary medicine packaging comprising a cylindrical flask and related lid, which acts as an assembly base for a springed actuator and a respective dispensing nozzle, inside said actuator being a combination that configures a dosing pump for the medicine contained in the flask, characterized by comprising: - a single injected part made of plastic material; - said single part being defined by two semi-cylindrical main parts, a lower one that constitutes a body and an upper one that constitutes a pressing cover, both with the tops articulatedly interconnected; - the body being defined by a vertical, semi-circular encasement, whose open side faces forwards the pressing cover, wherein the articulation of the pressing cover is arranged on the upper edge of the body, wherein the lower edge of the body is integrated to the outer diameter of an annular base, whose inner diameter has means for fastening and locking the primary packaging between its body and its lid, maintaining its dispensing nozzle above the articulation; - the pressing cover being defined by a semi-circular part, whose open side faces towards the body and has sufficient width and depth to encase the entire region of the open side of the body, wherein the upper part of the pressing cover tapers to form a dome with a circular through-opening for the dispensing nozzle of the primary packaging; - the pressing cover having a double cam positioned below the circular opening and arranged to be supported on the springed actuator of the primary packaging and to press it downwards when said pressing cover is pressed; - the single part made of plastic material being injected in an open position, such that the body and the pressing cover are orthogonally disposed; - the single part made of plastic material being in a closed position for use, in which the pressing cover is displaced downwards until it is axially aligned with the body and in which the open sides and of the two parts combine and the side edges of the pressing cover are slidably overlapped on the corresponding edges of the body thereby combining to form a grip with anti-slip surfaces, wherein the pressing cover is kept in the closed position for use by side retention means, said retention being limited to keeping the lower edge of the pressing cover away from the annular base in a distance such that the pressing cover is movable until it meets the annular base when it is pressed, thereby moving the cam to an operating position of the springed actuator of the medicine packaging; and wherein - the dome of the pressing cover has a garret and the opening has a fastening collar, wherein both combine to receive a lid which has a fast-engagement clip with the collar. - a single injected part made of plastic material; - said single part being defined by two semi-cylindrical main parts, a lower one that constitutes a body and an upper one that constitutes a pressing cover, both with the tops articulatedly interconnected; - the body being defined by a vertical, semi-circular encasement, whose open side faces forwards the pressing cover, wherein the articulation of the pressing cover is arranged on the upper edge of the body, wherein the lower edge of the body is integrated to the outer diameter of an annular base, whose inner diameter has means for fastening and locking the primary packaging between its body and its lid, maintaining its dispensing nozzle above the articulation; - the pressing cover being defined by a semi-circular part, whose open side faces towards the body and has sufficient width and depth to encase the entire region of the open side of the body, wherein the upper part of the pressing cover tapers to form a dome with a circular through-opening for the dispensing nozzle of the primary packaging; - the pressing cover having a double cam positioned below the circular opening and arranged to be supported on the springed actuator of the primary packaging and to press it downwards when said pressing cover is pressed; - the single part made of plastic material being injected in an open position, such that the body and the pressing cover are orthogonally disposed; - the single part made of plastic material being in a closed position for use, in which the pressing cover is displaced downwards until it is axially aligned with the body and in which the open sides and of the two parts combine and the side edges of the pressing cover are slidably overlapped on the corresponding edges of the body thereby combining to form a grip with anti-slip surfaces, wherein the pressing cover is kept in the closed position for use by side retention means, said retention being limited to keeping the lower edge of the pressing cover away from the annular base in a distance such that the pressing cover is movable until it meets the annular base when it is pressed, thereby moving the cam to an operating position of the springed actuator of the medicine packaging; and wherein - the dome of the pressing cover has a garret and the opening has a fastening collar, wherein both combine to receive a lid which has a fast-engagement clip with the collar.