Mobile computing devices facilitate the completion of tasks in all aspects of our daily lives. However, mobile displays have been recognized to have adverse impacts on our vision, and they may even cause severe injures to our eyes. Mobile devices cause visual discomfort, not only because of screen glare but also as a result of handheld shake and vibration. To address the aforementioned concerns, we assessed the implementation of an anti-shake mechanism for mobile display to provide users with a comfortable interaction experience and to minimize negative side effects of screen vibrations. The overall process of implementing this mechanism includes analyzing the accelerometer data, predicting the magnitude of device displacement, and adjusting the position of the display area to compensate for vibrations. In this paper, we propose a fuzzy inference model for motion prediction and display stabilization. We verified this model with tumbling E eye exams and subjective 10-point scale questionnaires. The experimental results reveal that the anti-shake mechanism successfully decreases sight fatigue when applied to mobile devices used in dynamically changing environments.