Two-dimensional direct numerical simulation of the edge-tones by the finite difference lattice Boltzmann method (FDLBM)is reported. We use anew lattice BGK compressible fluid model that has an additional term and allow larger time increment comparing the conventional FDLBM, and also use a boundary fitted coordinates. We have succeeded in capturing very small pressure fluctuations result from periodically oscillation of jet around the edge. That pressure fluctuations propagate with the sound speed. It is clarified that the sound wave generated in rather wide region and. individual vortices do not affect the sound wave propagation. We showed that the frequency of edge-tones depend on the jet flow speed.