For the problem of depression of the high sidelobes in synthetic aperture radar (SAR) images, a new way based on attributed scattering center model and spatially variant apodization ( SVA) is proposed. SVA is one of the classical super-resolution image processing technologies, which could keep the resolution of mainlobe while depressing the sidelobes. Attributed scattering center can properly depict the scattering properties of targets at high frequency region, which is an important tool to analyze the SAR image. Attributed scattering center is employed to do the parameter estimation and then the parameters are used to do the SVA filter. Experimental show that the effectiveness of the proposed method as for depressing the sidelobes.