Abstract: The equivalent heat capacity method has been studied to solve the problems of transient heat transfer with phase change and some numerical approaches are proposed.The uniform energy equation is constructed for whole domain, and its nonlinear heat transfer problem is directly treated instead of the domain decomposition.The numerical singular problem resulted from the single value or small interval of phase change temperature is solved effectively with proper approximate calculation of element equivalent heat capacity.The heat enthalpy criterion is used to judge if the phase change occurs within element,and the change of material property associated with temperature is taken into account, and the position of phase change interface is calculated with linear interpolation within each element.The numerical computational results of two typical examples and comparison with analytical solutions have been given.It is shown that the equivalent heat capacity method proposed in this paper is simple in programming, efficient in computation, and accurate in calculating the position of phase change interface for the numerical solution of the phase change heat transfer problems.