The invention relates to a machine for products having a non-circular cross-section, such as ovoid containers or bottles. The machine includes: a collector having cavities arranged obliquely relative to the XX' axis of the conveyor used to supply said products; a means for transferring the batch of products formed into groups by said collector to a depositing station, on a table arranged along said feed conveyor; a means for dropping the batch of products by a reversing movement in an oblique direction; and a means for returning said collector to the starting point, that is, level with the first product on said feed conveyor.