Results of studies on grinding kinetics of a ceramic body in reference to the effect of the number of contact points in grinding media are discussed in the paper. Experiments were performed in a semi-commercial batch mill. The grinding rates for individual size fractions were determined. The main objective of the experiments was to determine the effect of changes in the number of contact points in the grinding media on the rate of ceramic body grinding. A differential form of the Gardner and Austin equation for discrete values of fractions was used in the calculations. Main grinding parameters were determined based on the theory of statistical moments.