Active support based on axial force correction was widely applied to optical mirror support, while the research of moment correction was infrequency. In order to profoundly develop such study, the active support based on moment correction was introduced in the foundation of force correction. First, according to the principle of active support, the category of active correction for mirror surface was introduced. Especially, the difference between force correction and moment correction was compared in detail. Then a lightweight mirror with the aperture of 400 mm was selected to be calculated and optimized in statics, according to applying three groups equivalent moments. As a result, the mirror deformation was reduced from 331 nm to 9.35 nm, the rate of optimization was 97%. In conclusion, the active support based on moment correction was effective, and a new idea was introduced for an smart and diversified active support.