In stamp charging coke making, the lack of stamping process analysis and design information such as coal box pressure causes debasement of the design quality of related devices. To achieve a radical solution, a simulation is thus recommended, in which the essence is the appropriate description of the behaviour and reaction of stamped coal blend. To accomplish the mission, finite element method was applied in the current study to conduct a simulation on the stamping coal cake process, and a constitutive model was developed to meet the specific requirements of stamping coal. The constitutive model was established by combining Duncan-Chang from soil mechanics and Kelvin-Maxwell model from viscoelastic mechanics, and then extended to three-dimensional, and its numerical solution was also given. The simulation result are consisted with the field test data, which shows that the method is a feasible tool for studying stamping coking coal, and the proposed constitutive model is able to describe to some extent the inherent behaviour of the coal cake.