The invention provides a cloth accumulator with self tension, which is provided with upper rollers and lower rollers reversely. The cloth moves in a Z-shaped way alternately on the upper and the lower rollers. The cloth accumulator with self tension is characterized in that: a transmission mechanism is arranged in cloth storage box in rectangular frame shape; the top frame and the bottom frame of the rectangular frame are provided with a top rob and a bottom rob that are provided with sprocket wheels respectively; an annular gearing chain which forms the chain and sprocket transmission mechanism with the sprocket wheels which are positioned at the corresponding positions of the ends of the top and the bottom robs is arranged on the frames at the two sides of the rectangular frame. An upper roller shelf and a lower roller shelf are hung and arranged at the different sides of the annular gearing chain to form the reverse movement between the upper roller shelf and lower roller shelf. The invention can solve not only the problem of the tension in the consecutive production process of the cloth, but also the constriction problem of the textiles in production, thus improving the cloth accumulating speed and simplifying the operation process.