In a method and magnetic resonance apparatus for correction of image distortions that occur in acquisition of diffusion-weighted magnetic resonance images of an examination subject, a reference image is acquired without diffusion weighting, a first diffusion-weighted image is acquired for a diffusion direction, a second diffusion-weighted image is acquired for the same diffusion direction, with a different diffusion weighting or a different diffusion gradient polarity than the first diffusion-weighted image. The first diffusion-weighted image is deskewed with a first set of deskewing parameters, and the second diffusion-weighted image is deskewed with a second set of deskewing parameters. The deskewing parameters are correlated and determined by simultaneous minimization of differences between the deskewed first image and the reference image and differentiation between the deskewed second image and the reference image.