The cantilevered plate made from carbon fiber and macro fiber composite (MFC) is studied. First, a displacement field considering the influence of zigzag function is proposed based on the first-order shear deformation plate theory. The cantilever′s natural frequency is derived under the given displacement field using the Rayleigh Ritz method and Chebyshev polynomial. The evaluation covers the free vibration under an open circuit or controlled by different voltages taking into consideration the coupling between the elastic and electric fields. Then, the influence of stacking pattern, width-thickness ratio, and the length-width ratio of the MFC smart layer as well as the value of the external voltage on the natural frequency is investigated with different boundary conditions. The results show that the MFC smart layer has a significant effect on the natural frequency of the system and the vibration characteristics of composite laminates can be controlled by changing the power on the voltage of the MFC smart material.