This paper analyzed the natural frequencies for the Stewart transducer based on the Kane's method.In this method,the upper platform,the upper leg,the elastic element and the lower leg of the Stewart transducer were treated as independent substructure,and the equations of kinematics and dynamics were derived systematically according to the theory of the vector and the tensor.Moreover the equations of the natural frequencies for the Stewart transducer were obtained by simplifying the equations of kinematics and dynamics.In order to testify the validation of the Kane's method,a numerical simulation was proposed in mathematica routines.Compared with the traditional Newton-Euler method and the Lagranged method,the Kane's method is explicit and efficient,and especially suitable for calculating with computer.