An agitator ball mill for the fine-grinding or dispersion of a grinding material, including a container the inner wall of which delimits a cylindrical or conical, vertically arranged grinding chamber, a grinding material inlet for feeding the grinding material into the grinding chamber, a grinding body inlet for introducing grinding bodies into the grinding chamber, and a grinding material outlet for discharging the ground or dispersed grinding material from the grinding chamber, and a rotatably driven agitator having at least one agitator element and extending in the axial direction in the grinding chamber.