Distortions of observed images have been a long-standing problem in near-eye displays. Although many correction methods for optical system-dependent aberrations have been proposed, the image distortions caused by eye aberrations have not been studied thoroughly. In addition to the problem, eye aberrations are individual specific. Therefore, a system capable of correcting the aberration irrespective of the individual is necessary. In this study, we propose an aberration-correctable holographic near-eye display (HNED) that can be used to interactively compensate for image distortions caused by eye aberrations. We formulate a propagation equation that includes eye aberrations in the HNED and developed a GUI that enables a user to correct eye aberrations on their own. In this system, the image displayed on the HNED is updated based on the correction coefficients specified by the user. We performed experiments on human subjects to verify the effectiveness of the proposed method. Our results indicate that the minimum identifiable size in our HNED can be reduced by the aberration correction using our interface, and especially our aberration correction method is useful for the visibility of low visual-acuity users.