Abstract: As a special composite structure, the vibration characteristics of corrugated sandwich panel are greatly influenced by the boundary conditions. According to the shear deformation theory of different shear modes and Kirchhoff's classical plate theory(CLPT), the dynamic equation of corrugated sandwich plates was established by Hamilton principle. Among them, the corrugated core layer was equivalent to an anisotropic homogeneous body. According to the boundary conditions of four sides simply supported, four sides clamped, opposite sides simply supported and clamped, one side fixed and three edges clamped, the partial differential dynamic equation relative to the displacements was derived. By solving the equation, the natural frequencies of the corrugated sandwich plates under different boundary conditions were obtained. Compared with the finite element simulation results, the correctness of the theoretical results was verified. On this basis, based on the exponential shear deformation theory(ESDT), the variation of fundamental frequency of the corrugated sandwich plate with material parameters and structural geometric parameters under different boundary conditions was analyzed. The results show that the material and structural geometric parameters have an important influence on the vibration characteristics of the corrugated sandwich plates under different boundary conditions. Relevant research results will provide a theoretical basis for the vibration reduction design and optimization analysis of corrugated sandwich plates in engineering application.