The turbulent flow field around a circular pier is complex due to separation and generation of multiple vortices in different structures. This topic has a great interest in engineering applications for the design of the bridges over water. In this study, the velocity field of flow around a circular pier is measured using Laser Doppler Anemometry (LDA). The Basic equations of the problem are solved by ANSYS-Fluent program package based on finite volume method for the flow case having the same experimental conditions. In the numerical simulations, Standard k-epsilon, Renormalization Group k-epsilon and Realizable k-epsilon turbulence closure model are used for the simulation of turbulence, and the flow profile is computed using Volume of Fluid method. Grid Convergence Index (GCI) is performed to examine the effect of the selected grid structure on the numerical results. The computed results for velocities and free surface profiles are compared with measured data. The comparisons of the experimental and numerical results show that Realizable k-epsilon is more successful turbulence model among the other models in predicting the velocity field and free surface profiles.