Apparatus for the separation of agricultural or vegetable product, with a fixed structure having two parallel horizontal side members, a plurality of cutting modules equipped with a common rotating shaft having a plurality of rotating blades in fixed position along its length, the shafts being parallel to each other and mounted above conveying elements suitable to carry the products placed thereon toward the rotating blades, a plurality of positioning ramps mounted in a position corresponding to a respective rotating blade and having a shape elongated in the direction of movement of the conveying elements and almost flattened and oriented vertically, the elongate upper edge of which is oriented downward toward the conveying elements with an inclination such that the height of the edges increases in the feeding direction of the conveying elements, so that the clusters of products placed on the conveying elements are carried toward the ramps. The respective upper edge determines the point of intersection of the respective blade with the stems of each cluster carried under the blade, so that the conveying elements include a table formed by a plurality of parallel grooves substantially orthogonal to the rotating shafts and reciprocally separated by respective raised portions. The table moves in a direction parallel to the grooves; and the ramps are arranged in positions corresponding to the respective grooves. The projection of each of the ramps with respect to one of the groove is aligned with the same groove.