Abstract In this work, free vibration behaviour of sinusoidally corrugated functionally graded composite panel is examined. In this analysis, the functionally graded panel is comprised of metal at the bottom surface and ceramic at the top surface, and metal/ceramic phase between the top and bottom surfaces of the panel. The effective material properties of in-homogenous functionally graded material are obtained using simple rule-of-mixture, whereas the volume fractions of each material constituents are computed through the power-law distribution. The corrugated panel is modelled and analysed via finite element tool (ANSYS APDL) using eight-noded shell element (SHELL281). The displacement field is expressed using first-order shear deformation theory with six degrees-of-freedom. The Block-Lanczos method is employed to obtain the free vibration responses of the corrugated panel. The accuracy of the present model is exhibited through the comparison study in which the present results are compared with the previously reported results. In addition, numerous examples are illustrated to demonstrate the influences of various geometrical and material parameters, such as side-to-thickness ratio, corrugation, aspect ratio and power-law index, and support conditions on the free vibration behaviour of corrugated panel