A method and apparatus for compensating hand-trembling of a camera with reduced time required for capture compensated images. The method may include: calculating exposure time proper for preventing hand-trembling using an AE (Automatic Exposure) algorithm during an image-capturing standby mode; executing image-capturing multiple times depending on the exposure time at the time of inputting a photographing signal through a photographing button, and detecting the amount of hand-trembling at each time of image-capturing. The storing of images can be selected by a preset number of required images from the captured images as resultant images, the images being sequentially stored from an image having a lowest amount of hand-trembling as a resultant image, whereby an image with reduced hand-trembling can be obtained.