Vacuum fields fluctuations are justifier of much quantum optical phenomena such as Casimir force but because of the complexity of computations in them, they are usually employed in simple geometries. A more convenient and appropriate method has been proposed to obtain this force in recent years due to the fact that the correlation functions of electric and magnetic field appear in the calculation of the Casimir force and that the correlation function can be written in terms of imaginary part of Green function components by using fluctuation dissipation theorem an Kubo's formula in statistical mechanics. in this method, the explicit forms of the electric and magnetic fields operators is not required.