1. An image capturing apparatus with a movement compensation function, applied in a photographing mode whose exposure time is greater than the safe shutter time for providing the movement compensation function, comprising: an image capturing unit, for receiving a release signal to capture a first image under a desired exposure time and a second image with an exposure time smaller than or equal to the safe shutter time; a motion sensor, for recording a camera motion signal of the image capturing apparatus during the exposure period of the first image; and a processing unit, for outputting the release signal, and reconstruct the first image to form a reconstructed image according to the camera motion signal, and using an image analyzing algorithm to extract an image of different frequency components from the reconstructed image and the second image, and performing a fusing process to the image of different frequency components according to a specific ratio to generate an output image.