Locally resonant phononic crystal (LRPC) is one of the most promising materials in vibration and noise control because it has low frequency stop band and the cell size is much smaller than the wave length of the stop band.An interesting problem is to tune the stop band frequencies of the LRPC to meet the demands for different situations in real application.As is known to all,the stop band of the LRPC is determined by the single cell rather than the periodic arrangement which works in the Bragg scattering phononic crystal.Here,the hierarchical structure is utilized to change the stop band of the LRPC.The band structures and the corresponding mechanisms of the LRPCs with different inclusions are investigated by the finite element method.The amount of the stop band as well as the frequency range are proved to be tuned.Moreover,the hierarchical structure of the LRPC bring more changes in the microstructure of the cell as the geometrical size,material constants and the structure arrangement of the inclusion can be tuned.As a result,the stop band can be further tuned.These results can be used to extend and lower the stop band in LRPC which are helpful in noise and vibration control.