In this paper, a constitutive model for the stress-strain response of municipal solid waste (MSW) is presented, considering the effects of temperature and aging. Our goal is to provide a model for predicting the behavior of these materials. The models used to predict the behavior of waste have used the theory of soils, and in this research, a composite based model has been developed. A Cylindrical sample is modeled and loaded under triaxial loading conditions as observed in the experimental specimens. A fresh MSW, as our sample was investigated with specific composition. The constant of the relation between stress-strain was calculated using optimization technique. The obtained results are compared with previous models' experimental data and results to verify the proposed model. At the lower strains, a good agreement can be reported between the numerical and experimental results. The root mean square percentage of the relative error between the present model and the model of other researchers has shown acceptable results. It is also revealed that, as the temperature of the MSW increases, the stress on the waste is increased.