In order to fully understand the dynamic characteristics of cemented sand and gravel(CSG) material and reveal its dynamic constitutive relationship better, based on the classical Preisach Mayergoyz(PM) mesoscopic hysteretic model, combined with the nonlinear hysteresis characteristic of CSG material, considering the influence of plastic residual strain and cycle number, the elastic plastic mesoscopic hysteretic model of CSG material was obtained. By comparing the hysteretic curve of the improved mesoscopic model with the test curve, it can be seen that this model can reflect the hysteretic characteristics of the CSG material, and the fatigue life of CSG material under cyclic load can be predicted by the model.