The invention discloses a spiral-spring-free torsion damper driven disc assembly based on torsion damping belts. The multiple torsion damping belts are adopted to replace original spiral springs to serve as torsion damping elements, abnormal abrasion of the damping elements and clamping components of the damping elements is avoided, the torsion damping curve is perfectly matched with the pressingforce curve of a pressing disc, and the torsion damping performance is more comfortable, safe and reliable.