In this paper, the method of vibration analysis for calculating the natural frequency is presented. This method is a simple but exact method of calculating natural frequencies corresponding to the modes of vibration for the cantilevered composite materials beam. As a calculations of the method of vibration analysis, it is noted that the result of the second cycle is only 2.2% away from the ‘exact’ result. In the case of cantilevered composite materials beam, increase of mass near the support does not significantly affect the vibration characteristics. This method may be extended to stability analysis of complex structural elements.