A computed tomography apparatus and a method for controlling the same are provided. The apparatus is capable of switching between a high energy mode and a low energy mode at a high speed using a filter that rotates at a high speed. The computed tomography apparatus includes an X-ray generator which generates and irradiates X-rays toward a subject, an X-ray filter which includes at least one filter member, a driver which rotates the X-ray filter such that the filter members are selectively disposed in an irradiation path of X-rays generated by the X-ray generator, a detector which detects the X-rays that are transmitted to the subject, and a host apparatus which obtains X-ray images by using detected X-rays, separates the obtained X-ray images based on filter members to which the corresponding X-rays are transmitted, and reconstructs the images by using X-ray images of the identical filter member.