A product dispensing machine (100) comprises: a storage compartment (1), a partition (5) disposed in frontal position with respect to the storage compartment (1), two side edges (7), an unloading conduit (6) comprising a stacking station (62) and an unloading station (60) provided with an outlet section (61), and movement means (3) to let the products pass from the stacking station (62) to the unloading station (60); said movement means (3) comprise two chains (30) that are moved along an endless loop path, and a plurality of equidistant rods (31) joined to the two chains (30); the product dispensing machine (100) comprises actuation means (4) to actuate the movement means (3).