The remote sensing images obtained by optical remote sensing camera are degraded and blurred due to atmospheric turbulence, imaging defocus, mechanical vibration. It is necessary to assess the recovery quality of image after the processing of remote sensing image recovery. An assessment method of sharpness is proposed, through the study of the skeleton of image edge detection, the number of pixel on the edge of abstracting the skeleton image is calculated. And the data is used as sharpness parameter of the images. Comparing the sharpness parameter of the recovery images with the distorted images, it is sure that the sharpness of the recovery images is improved. The experiment on remote sensing images demonstrates the validity and credibility of the proposed method, in the same time, it has better results in the noise resistance and the inhibiting effect of the weak ringing ripples.