Abstract: The impact of temperature on the large deformation of nuclear waste disposal, geothermal extraction and storage under cyclic load is should be considered. In the framework of super-subloading surface, the concept of equivalent stress is introduced to establish a constitutive model. The model can represent the mechanical characteristics of saturated clay affected by thermo-cyclic loads. Based on the experimental data, the model is validated. The results show that the constitutive model can be used to calculate the experimental data. It can describe the alternating mobility of saturated soils at different temperatures by controlling the parameters of the model, and it is revealed that the increase of temperature is the inherent resistance to deformation mechanism. The model is of reference significance for the mechanical properties of saturated sand under temperature and cyclic loads.