Analyzing the influence of external stimuli on human eye movements is an important challenge in vision research. In this paper, we investigate the plasticity of eye movements due to the applied auditory stimuli (music). For this purpose, we use fractal theory, which provides us with tools such as fractal dimension as an indicator of process complexity. This study, for the first time, reveals the correlation between fractal dynamics of eye movements and fractal dynamics of auditory stimuli. Based on the performed analysis, the fractal structure of the eye movements shifts toward the fractal structure of the applied auditory stimuli, where the greater variation in fractal dynamics of auditory stimuli causes greater variation in the fractal dynamics of eye movements. The observed behavior is explained through the nervous system. As a rehabilitation purpose, the employed methodology in this research can be investigated in case of patients with vision problems, where the applied music could potentially improve their vision.