A method for correction of movement artifacts in a computed tomography image that is reconstructed from a plurality of computed tomography projection images is provided. Using all projection images of the plurality of computed tomography projection images, an average position of an examination area of an examination object in the reconstructed image volume is determined by a global optimization method. With the aid of the at least one image volume block that is formed from predeterminable projection images, the movement of the examination area of the examination object in the at least one image volume block is estimated by an optimization method. A corresponding device for correction of movement artifacts in a computed tomography image is also provided.