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The whole flow passage model of a multistage pump is built. The three-dimensional turbulent flow through the model is simulated using standard kappa-epsiv turbulence model and wall function based on the Navier-Stokes equations. The influence of the grid number on the simulation results is studied by comparison. The velocity and pressure distributions within the impellers, guide vanes, etc are analyzed according to the results. The predicted performance of the multistage pump is also obtained through the numerical results. It shows that the numerical simulation of flow in the multistage centrifugal pump based on integral modeling is reasonable and feasible because the prediction values are consistent with experimental ones.