One of the mast challenging image processing applications is image restoration, which refers to methods for removing various sources of distortion that may have corrupted the ideal image data. Most of the image restoration techniques were developed to process one image at a time, and do not take advantage of the availability of multiple frames of essentially the same scene, More recently, the advancement of image processing hardware allowed us to process a sequence of images at or near frame Tate, and new techniques were developed to process multiple frames of images for various applications. In this paper we propose a novel iterative restoration technique based on Kaczmarz's method, that processes a sequence of frames and produces output images with higher resolution and larger signal-to-noise ratio than the input image sequence. The proposed method provides a natural and simple way to improve image resolution by exploiting the relative scene motion from frame to frame. This relative motion can be due to the motion of the imaging platform, and/or motion of objects in the scene. We discuss the first case in some detail, show how Co apply the novel iterative method to me problem, and present experiments using real data to demonstrate the algorithm performance.