A device to distribute a product which includes a sheath, a cup and a spiral body having at least one helical groove for guiding. The sheath is rotatable with respect to the spiral body and fitted into the spiral body. The sheath includes at least one opening having at least two portions non-parallel to the generatrix of the inner cylinder of the sheath and forming between them an obtuse angle strictly less than one hundred eighty degrees. The cup includes at least one guiding pin inserted into the helical guiding groove and into the opening. The guiding pin being displaced simultaneously along the helical groove and the opening when the sheath is set into rotation with respect to the spiral body.