The main objective of pavement design is to calculate the optimal thicknesses of its different structural layers. Therefore the design of rigid pavements, where the rigid slab takes most of the load-carrying capacity, consists on determining the right thickness of the slab. Roller compacted concrete (RCC) pavements, which belong to the family of rigid pavements, are mainly designed and analyzed using existing methods used for jointed plain concrete pavements. These methods are primarily based on Westergaard analytical solution, which determines the mechanical response of a concrete slab under vehicular loading based on many simplifying assumptions. In this study, a 3D numerical model of an RCC pavement was developed using the finite element (FE) software package, ABAQUS. The model treats several aspects that cannot be treated using available analytical solutions. In fact the model treats the base layer and the supporting subgrade as solid elements; friction coefficients are used to simulate the real contact at the interfaces; and the concrete material is modeled using a non-linear behavior law. The modeled pavement was analyzed under a single tire load of 60kN with a tire pressure of 740kPa applied at three different locations, namely the pavement center, the pavement edge, and the pavement comer. Results of the 3D FE model were compared with those obtained using other methods such as Closed-form Formulas and the Portland Cement Association (PCA) procedure. The comparison showed that the FE model gives lower calculated stresses and higher calculated displacements. It is concluded that 3D FE modeling is a reliable method for the calculation of stresses and displacements in RCC pavements.