According to the existing problems of liquefaction models of saturated sand that were put forward under dynamic action, on the basis of Handin-Drnevich model, a new calculating model of the dynamic constitutive relation of saturated sand was put forward. The model was based on the basic hypothesis of instantaneous limit balance according to the basic principle that the stress estate is the destroyed condition was not overstepped. The calculated method of increment nonlinear was referenced and combined with the excellence of the model of distributed particles. The process of vibrating liquefaction of saturated sand was divided into some areas. And the phenomena of shearing dilatation and unloading shrink of saturated sand were considered. On above basic a new calculating constitutive relation model was proposed. There are a few parameters in the model. The physical means of the parameters are very evident and quantized. They could be obtained from the dynamic triaxial test in door. The model was contrasted and validated with the results of the dynamic triaxial test in door. The comparison of the results of the dynamic triaxial test in door and the calculating results of the model indicates that all sorts of phenomenon appearing in the process of liquefaction of saturated sand could be more perfectly reflected by the model. Especially at the initial stage of development of pore water pressure and strain of saturated sand, the results of the dynamic triaxial test in door are consistent with the calculated results of the model very much. But there is some differencc between the results at the anaphase of development of pore water pressure and strain. On the path of stress, the calculating and experimenting ultimate state surfaces are almost identical.