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In this work, the dynamic stiffness method (DSM) is implemented to investigate free vibration behaviour of thin rectangular functionally graded material (FGM) plate with the sigmoid (S-FGM) and exponential (E-FGM) property variations along its thickness direction. Both uniform and stepped thickness FGM plates are considered in this study. Classical plate theory in conjunction with the physical neutral surface of the FGM plate is utilized to obtain the governing differential equation of motion including the effect of rotary inertia. Considering Levy type plates, the dynamic stiffness matrix is developed through the application of displacement and force boundary conditions at the appropriate edges. The well-known Wittrick-Williams algorithm is employed to solve this dynamic stiffness matrix in order to compute the natural frequencies of the plate with reasonably high accuracy. It is shown upon comparison with the existing …