Abstract: Considering piezoelectric coupling, the characteristic of frequency dispersion was investigated and the transient SH wave was obtained by means of the reverberation matrix-two dimensional spectrum method in the piezoelectric composite layered structure. The numerical results show that the cutoff frequency and phase velocity are raised as the piezoelectric effect, and the energy of SH wave generated by the surface disturbance partially propagates into the depth direction and the other propagates along the surface in the form of surface wave within two-plate-depth. The reverberation matrix-two dimensional spectrum method presents an effective numerical approach for the investigation of the transient wave in multilayer structures.