The vibro-acoustic characteristics of two types of corrugated sandwich panels are studied，which are trapezoidal corrugated sandwich panel and triangular corrugated sandwich panel. According to the shear effect of the sandwich plate，the dynamic equation of the sandwich plate with four sides simply supported and the vibro-acoustic coupling control equation under the excitation of the simple harmonic pressure are established by using the hyperbolic tangent parabola deformation theory（HTPSDT）. The natural frequency of the free vibration of the corrugated sandwich panel and the sound insulation under the sound pressure are obtained by using the Navier method and the fluid-solid coupling interface condition. Based on the established theoretical models，the natural frequency and the sound insulation of trapezoid and triangular corrugated sandwich panels are calculated. By comparing with the finite element simulation results，the correctness of the theoretical model is verified. The vibration characteristics and sound insulation performance of the two types of corrugated sandwich panels are also compared. Finally，the effects of the structural parameters of the corrugated core on the vibration and sound insulation characteristics of trapezoid and triangular corrugated sandwich panels are discussed. The results show that the angle between the corrugation and the panel，the thickness of the corrugated wall and the height of the corrugated core have an important influence on the vibro-acoustic characteristics of trapezoid and triangular corrugated sandwich panels. The influence on the triangular corrugated sandwich panels is more obvious.