In this study, a Lagrangian formulation of the Navier–Stokes equations, based on the weakly compressible smoothed particle hydrodynamics (WC-SPH) method, was applied to simulate the seepage failure around sheet-pile. In this simulation, the advantages of SPH will be exploited to simulate the soil–water interaction. Water is considered as a viscous fluid with week compressibility and soil is assumed to be an elastic–plastic material. The elastic–perfectly plastic model based on Mohr–Coulomb’s failure criterion is implemented in SPH formulations to model the soil movement. Interaction between soil and water is taken into account by means of seepage force and pore water pressure. Numerical Simulation of the seepage around sheet-pile has been done; the numerical results are then compared with experimental data. The results have shown that the proposed model could be considered a powerful tool to simulate extremely large deformation and failure of soil.