Disclosed is an apparatus for computed tomography (CT) image data reconstruction based on motion compensation. The apparatus for computed tomography (CT) data reconstruction based on motion compensation, the apparatus including a storage configured to store projection radiographs and an image processor configured to obtain pairs of opposite projection radiographs from the projection radiographs, and compensate a movement of a radiography subject based on a correlation between the projection radiographs of each pair of opposite projection radiographs.