Influence of diffusion coefficient on crystallization process is considered in a crystallization physical model. A phase field method is employed to study influence of random nucleation rates and nucleation radii on microstructure and growth kinetics in primary crystallization process. It shows that the number of grain crystal of primary crystallization increases with the increase of initial nucleation rate, and the crystal size of primary crystallization decreases with the increase of initial nucleation rate. The crystallization fraction increases with evolution time and initial nucleation rate. The greater the initial nucleation rate, the higher the crystallization fraction. With different initial nucleation radii, the quantity and size of grains in the primary crystallization process remains basically unchanged with the increase of evolutionary time. The crystallization fraction increases with the increase of evolutionary time. The growth index corresponding to different initial nucleation rates and initial nucleation radii is less than 1, which means random nucleation rate and random nucleation radius have no significant effect on the crystallization mode. The crystallization modes are primary crystallization. Control of random nucleation rate and initial nucleation radius changes effectively microstructure of the primary crystallization. The grain size and crystallization fraction affect properties of the alloy directly.