The invention relates to a compensation device of a spring with constant tension, which essentially comprises a grooved pulley, a compensation rope, a left end plate, a main shaft, an oil seal, a bearing, a right end plate, a contact plane volute spring, an external cover, a fixed angle iron, an installation bottom plate, a hinge pin and a broken wire stopping device; wherein, the grooved pulley is fixed on the main shaft; the compensation rope is coiled and has an end fixed on the grooved pulley and the other end connected with an external contact net; the main shaft is supported on the left end plate and the right end plates by the oil seal and the bearing; the left end plate and the right end plate, the external cover, the fixed angle iron and the installation bottom plate form an enclosed box base; the hinge pin is connected to one side on the installation bottom plate far from the box base which is internally provided with the contact plane volute spring with an inner end bent hook connected with the main shaft and an outer end bent hook connected with the fixed angle iron on the box base. The compensation device of the spring with constant tension provided by the invention is compact in structure, small in size and light in weight. The invention can cause an electrified railway network to keep certain tension and reduce the loss catenary rate of the pantagraphs.