1. An image capturing apparatus comprising: an image sensor configured to obtain a first image; a motion sensor configured to detect movement of the image capturing apparatus; and an image stabilizer configured to estimate image movement in a second image, obtained by the image sensor after the first image, based on the movement of the image capturing apparatus, and correct image distortion of the second image by compensating for the image movement, wherein the image stabilizer configured to predict a movement point of a first feature point, extracted in the first image, in the second image based on the movement of the image capturing apparatus, and detect a second feature point, corresponding to the first feature point, from the movement point of the first feature point, in the second image by feature point tracking, and wherein the image stabilizer corrects the image distortion based on a determination on whether a distance between the movement point of the first feature point in the second image and the second feature point in the second image is within a predetermined range.