Abstract: In this paper, the dipole of memory points in scaled one-dimensional memory model would be generalized as a memory surface in multidimensional stress space. The scale modulus is defined as the distance between the current stress point and failure surface, and the scale function of one–dimensional stress-strain relationship is adopted in multidimensional scaled memory model. The interpolation method of scale modulus would be composed, after that the plastic modulus of any point on hysteretic loop could be estimated. A program with FEM has been completed, and it will be applied to the dynamic nonlinear analysis of earth structure under multidimensional stress state. Through the simulation of the dynamic triaxial test with specimen of 300mm diameter, it is demonstrated that the dynamic stress-strain relationship could be simulated commendably by multidimensional scale memory model and its algorithm.