The mill with stirring mechanism has a grinding vessel in which the material is ground by bodies moved by a stirring rotor turning in relation to it. The inside wall of the vessel (2n) and the outside one (3n) of the rotor are of regular shape (UM,UR) with alternate protrusions and recesses, the axial length of these protrusions and recesses in both being roughly equal. An adjusting mechanism (38) is provided for the relative positions in the axial direction of vessel and body
