An efficient hybrid method that combines the best uniform rational approximation with the Method of moments(Mo M) based on the Volume integral equation(VIE) is presented for Radar cross section(RCS) prediction of inhomogeneous dielectric objects. Over the broad frequency band, the Chebyshev nodes are chosen. At these frequency sample points, the corresponding VIEs are built and the Mo M is applied to solve the VIEs by using the SWG basis function. The Chebyshev polynomial expansion is employed to approximate the volume currents in the desired frequency band. The Maehly rational approximation is implemented to improve the solution accuracy.Numerical results testify the efficiency and accuracy of the proposed method and time cost ratio is analyzed finally. An efficient hybrid method that combines the best uniform rational approximation with the Method of moments (Mo M) based on the Volume integral equation (VIE) is presented for Radar cross section (RCS) prediction of inhomogeneous dielectric objects. Over the broad frequency band, the Chebyshev nodes are chosen. At these frequency sample points, the corresponding VIEs are built and the Mo M is applied to solve the VIEs by using the SWG basis function. The Chebyshev polynomial expansion is employed to approximate the volume currents in the desired frequency band The Maehly rational approximation is implemented to improve the solution accuracy. Numerical results testify the efficiency and accuracy of the proposed method and time cost ratio are analyzed finally.