In order to realize the metamaterials that can control low-frequency vibration and be applied to practical engineering, an innovative phononic crystal thin plate is proposed in this paper. The band gap of the thin plate is systematically analyzed according to the existing wave theory and finite element method. According to the design characteristics of thin plate structure, the influence of the thickness and material of the upper and lower plates and intermediate layers of thin plate on the band gap is explored. Then, the energy propagation behavior of the wave in the structure is briefly discussed. Finally, the control effect of thin plate structure on vibration is verified by numerical simulation. The results show that the phononic crystal plate constructed by us is not only simple in structure design and easy to implement, but also has good band gap tuning and vibration attenuation effect.