Simulation models for heterogeneous and simultaneous nucleation and random growth of nuclei were developed in terms of the mechanism of recrystallization and Monte Carlo stochastic simulation method.Combining deterministic simulation with stochastic simulation,the simulation and visualization of the recrystallization microstructure of Ti-15-3 alloy after hot compression deformation and solution treatment were realized.Comparison of the simulated results with the experimental ones suggests that the size and distribution of the simulated recrystallized grains agree well with the actual ones.This proves that the obtained statistic equivalent microstructure models are effective.This study is helpful for determining reasonable hot forming process and improving the forming quality.