A process and an apparatus for stocking semifinished products for manufacturing tires for vehicle wheels, wherein a semifinished product is supplied on a roller conveyor along a supplying direction. Between the rollers of the conveyor at an unloading station, there are arranged arms of a lift. When the semifinished product reaches the unloading station, the arms are rotated around an axis parallel to the supplying direction in such a way as to lift the arms and slide the semifinished product by gravity on the arms along an unloading direction that is perpendicular to the supplying direction and to first ends of these arms. The semifinished product drops through gravity from the first ends onto a resting plane of a supporting bench positioned below the first ends and spaced apart therefrom.