The invention provides a tension stability control system for film winding conveyance, which comprises a feeding roller, paired driving rollers, paired driven rollers, a tension roller and a tension controller, wherein the feeding roller is used for uncoiling a coiled flexible film, the paired driving rollers are used for drawing the film, the paired driven rollers are used for assisting the paired driving rollers in drawing the film under control of the tension controller and are used for keeping tension stable, the tension roller is provided with a tension sensor for detecting tension during conveyance of the film, and the tension controller is used for performing tension closed-loop control according to tension acquired by the tension sensor. Output signals of closed-loop control serve as compensation of operation planning commands of a driving motor for the paired driven rollers, and further the rotation speed of the paired driven rollers is controlled to ensure stability of the tension. By the aid of a cascade control system formed by the tension roller, tension amplification filtering and driving compensation, low tension during flexible film conveyance can be effectively controlled, control precision is high, and the tension stability control system is applicable to low-tension conveyance of ultrathin and flexible hetero-structure films.