We introduce a singular value method to evaluate the mid- and high- frequency error in the large aperture reflecting mirror figure due to gravity print through and noise from processing and measurement. Firstly, we study the singular value method applied to mirror figure evaluaton. Then, the feasibility that the singular value method can be applied to the reflecting mirror figure is verified by numerical simulation. Finally, the proposed method is applied to autual evaluation of the reflecting mirror figure, and the results with highfrequency error in the system eliminated are obtained. The proposed method may help evaluate the large aperture reflecting mirror figure with lower signal to noise ratio.