According to the dual physical characteristics of the steel wire and the rubber possessed by the rubber conveyor belt with the steel wire core,the constitutive model of the entire conveyor belt is obtained by combining the constitutive model of the steel wire core and that of the rubber cladding. The Kelvin model is employed to describe the constitutive model of the steel wire,the standard solid model is employed to describe the constitutive model of the rubber cladding,the stress expression of the conveyor belt under the harmonic strain is derived by the parallel superposition combination of a standard solid model and the multiple Kelvin models,and the generalized constitutive model of the conveyor belt is established. The experiments of the dynamic strain loading on the steel wire and the rubber base body are performed respectively,and the parameters for the two constitutive models are obtained,and the prediction of the visco-elastic mechanics characteristics by applying the generalized constitutive model is performed. The experiment of the dynamic strain loading on the conveyor belt is carried out,the comparison between the experimental result and the computational result of the generalized constitutive model is performed. The result shows that by calculating the parameters of the steel wire,the parameters of the rubber cladding and the volume ratio of the steel wire to the rubber cladding,the visco-elastic mechanics characteristics of the conveyor belt can be described precisely,and the accuracy of the generalized constitutive model is high.