Abstract: We propose a new Legendre moment invariant based method to deal with registration of images which are simultaneously degraded by out-of-focus blurring and geometric deformation. We use the Harris corner detector to extract feature points, and construct a new set of combined blur and geometric invariantsof Legendre moment as a measure to establish correspondence between feature points of the images to be registered. This correspondence is then used to estimate the transformation parameters to realize image registration. Experimental results show that the proposed method can effectively register degraded images with better performance compared to some other methods.