The milling device for a seasoning product, in particular for salt, a spice or a condiment includes a mill, an annular bowl and a frustoconical bulb able to be rotated in the bowl, when the mill is actuated. An axial rod is used and connected to its apex. The inner face of the bowl and the outer face of the bulb is provided with teeth. There is a flange for securing to the mill, the flange being in the shape of a “U” having two lateral branches connected by a transverse branch. The distance between the two lateral branches is adjusted to the diameter of the bowl. There is a device for aligning the rotation axis of the bulb with the axis of the bowl.
