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In this study generation, propagation and run-up of tsunami waves caused by submerged landslide are studied in two dimensions. The governing equations, Navier–Stokes equations, are solved in a Lagrangian form using a mesh-less numerical method by the name of Incompressible Smoothed particle hydrodynamics with a prediction–correction step. The Comparison of the result of this study with experimental data indicates that the deviations between the wave amplitudes are less than 5 cm for every different time steps and also, this model simulated run up and Water surface fluctuations more accurately against the Nasa-Vof until to 3 seconds.