This article examines the properties and microstructure of cast iron after fabrication of grinding balls by different kinds of casting and forging, with crystallization of the metal under pressure. A mathematical model of the process of solidification of a forging in a die is presented. Joint solution of two Fourier equations of heat conduction for the melt and for the solid skin is used to derive a kinetic equation of solidification and hence to determine the rate of solidification of the forging in the die. The effect of the pressure on the structure of the crystallizing metal and the quality of the forged grinding balls that are obtained is determined.Key words: structure of cast iron, crystallization under pressure, mathematical model, temperature fields, components of the time of solidification.