Abstract: Since reliable calculations of phase equilibria are very important for chemical and metallurgical processes, studies on algorithms of phase equilibria are of value and interest. In this paper, the generalized reduced gradient (GRG) methods were used to enhance the local search ability of conventional genetic algorithms (GAs). GRG, as an operator, was first introduced to speed up the convergence and at last was used to refine the results of GAs.Because of improved efficiency, higher reliability and flexibility, the hybrid algorithms might have broad application in the calculation of chemical and metallurgical phase equilibria.