An agitated ball mill is equipped with a vertically rotating agitator to drive the grinding media. During operation, the drum remains stationary while the agitator exerts a strong force, allowing sampling and addition of abrasives without stopping the machine. It can disperse two or more different substances within each other to achieve uniform mixing, and also accelerate heat and mass transfer. This enables high-energy water-cooled circulation, pollution-free operation, dispersion and homogenization, as well as grinding and mixing.