Cold spray is a relatively modern process used for coating and producing new stuff. In this process, the solid particles are accelerated to the substrate using a low temperature supersonic gas flow. The particles possess a large kinetic energy due to their high velocity. As a result, both particles and substrate go through a severely large deformation in this process which causes a strong bonding with them. The rate of deformation in cold spray process spans a wide range, i.e. usually from 10 9 to zero s -1 . The experimental study of this process is generally very difficult as the deformation occurs in a very short period of time and also in very small region. Therefore, numerical simulation of the process can provide insight into this process. Many numerical studies have been carried out in the literature in order to study this process in more depth. Despite the inability of Johnson-Cook plasticity model in prediction of material behavior at high strain rates, it is the model that has been frequently used in simulation of cold spray. Therefore, this research was devoted to compare the performance of different material models in the simulation of cold spray process. Six different material models, appropriate for high strain rate plasticity, were implemented into ABAQUS commercial code via VUHARD user subroutine. Then, the subroutines were used to simulate the cold spray process for pure copper. The simulations were carried out using two methods: a) conventional Lagrangian elements (FEM), and b) smoothed particle hydrodynamics method (SPH). The simulation results were compared with the previously published experimental data. The results of this study showed that the material model had a considerable effect on the predicted deformed shape. The results of FEM showed that the Johnson-Cook model underestimated the flow stress at both of high strain rate and large plastic strain and, therefore over predicts the particles deformation in the cold spray process. Against the Johnson-Cook model, some models overestimated the flow stress at high strain rate or large plastic strain i.e. Gao-Zhang, Voyiadjis-Abed and Modified Zerilli-Armstrong models. The PTW model predicts the flow stress fairly accurately at both of high strain rates and large plastic strain and, therefore predicts the deformation in the cold spray process fairly accurately. Also the jetting phenomenon that is very important in bonding mechanism in cold spray process, is only captured by some models i.e. Johnson-Cook, PTW and Modified Khan-Huang-Liang models. Comparison of results of FEM and SPH method generally shows that results of both methods are almost similar. In the SPH method, particles do not rebound after impacting and adhere onto the substrate; this property may arise from the powerful capability of the SPH method for capturing the interfacial features. Keywords: Cold Spray Proce Numerical Simulation; Finite element method; Smooth particles hydrodynamics; Material model; High Strain Rate.