The present paper provides validation results of the lattice Boltzmann method (LBM) for the simulation of a complicated flow field around a propeller fan. In the present numerical simulation, solid boundaries of the rotor and the shroud were calculated by a simple immersed boundary scheme. The computational grid around the propeller fan was generated by the Building-Cube Method (BCM). Furthermore, the multi-scale model was introduced into the LBM to allow the calculation with such grids. The LBM result agreed well with the experimental result and the result of detached eddy simulation (DES) which solved the Navier-Stokes equations. It confirmed that the present approach was effective for flow simulations of propeller fans using LBM.