Abstract: In this article, the wave propagation in thepiezoelectric hollow cylinder is investigated by applying 3-D piezoelectricelastic axial symmetric model. While the cylinder has piezoelectricproperty, its guided wave very differs with the non-piezoelectric cylinder.When the wavelength tends to zero, the velocity of simulation-P wave (sim-Pwave) in the piezoelectric cylinder asymptotically tends to the quasi-P wavevelocity of transverse isotropic elastic body, but the velocity of sim-Pwave in the non-piezoelectric cylinder asymptotically tends to the P wavevelocity of 1-D bar model. The sim-SV wave in the piezoelectric cylinder hasthe standing wave phenomenon. The SH wave is independent of electric field,so the piezoelectric and non-piezoelectric cylinders have the same frequencydispersion curves about SH wave. In this paper, using Integral TransformMethod to combine the boundary condition and the governing equationstogether, a group of dynamics equations, which are about the displacementsand electric potential, is derived. To the assured boundary condition, theguided-wave condition and the frequency dispersion equations are obtained.Above such solution, the transient responses under a stress pulse at the endare simulated. At last the effect to the wave propagation about the radius'ratios of the hollow cylinders is discussed.