A new modified Monte Carlo algorithm (MC) for simulation of grain growth of steel plate during annealing has been proposed and compared to traditional MC algorithm and Radhakrishnan modified MC algorithm. The main features of new modified MC algorithm are lattice points reorientation attempts limiting to orientations of nearest neighbors only and to orientations of maximum system energy decrement. The simulation results show that the structure simulated by new modified MC algorithm is optimum, the grain gro...