Tension control can be used on Roll-to-Roll Apparatus that extensively applied to printing machines, printer rolls, and semiconductor process occasions. The precision detection and tension control devices can help the Roll-to-Roll devices to prevent the film from being pulled, squeezed, or twisted. This is to ensure the stability of the manufacture process to obtain good quality of products. The purpose of this work is to derive the mathematical model of tension control system for Roll-to-Roll devices with two wheels. Firstly, we investigate the studies the researches of tension control. Secondly, we establish the dynamic equations of tension control for Roll-to-Roll apparatus. Finally, we use Matlab tool to simulate a Roll-to-Roll apparatus on the dynamic characteristics. The results show the proposed method of this work is feasible.