Abstract: In order to analyze long-term settlement of the ground subjected to traffic loading, the simplified method based on explicit model for predicting the accumulative deformations is usually preferred. On the basis of considering the stress history, dynamic stress level and normalization between the axial plastic cumulative strain of the first cyclic loading and the average consolidated stress, an explicit model is proposed to calculate the axial plastic cumulative strain of saturated clay subjected to cyclic loading, and different consolidated conditions and confined stresses are reflected. The parameters are of physical significance and are easy to be obtained. Parameters of the explicit model are determined and the validity of the model is verified based on the undrained cyclic triaxial tests on consolidated Shanghai soft clay.