The mechanical behavior of the fasting system on the clamping forces has not been fully studied because of structural complexity. The goal of this research is studying the effect of nonlinear of the rail fastening system on the clamping forces in the railway bridges. A numerical model is proposed to analyze the problem of fasteners. The model is conducted by using a code in FORTRAN. In this study, fasteners are modelled as springs. The calculated results show a good agreement with values referred from manufacturer. As a result, the numerical simulation is believed to indicate an approximate value of clamping force considering the nonlinear behavior of fastening system.