The invention discloses a constant-tension wire conveying mechanism comprising a frame body, a linkage wire pay-off device, and a rotary tension device. The linkage wire pay-off device comprises a wire pay-off mechanism and a back-twisting mechanism. The invention further discloses a method for making the constant-tension wire conveying mechanism. The constant-tension wire conveying mechanism provided by the invention is reasonable and ingenious in structure design, and capable of quickly conveying a wire core to a stranding machine in a balanced mode with predetermined constant tension; at the same time, the rotary tension device and the stranding machine move in the same direction at the same speed, so that the wire core can be effectively prevented from being damaged by twisting; in addition, the accuracy of tension regulation is high, the tension of the wire core is automatically detected and adjusted in the whole production process, the tension of the wire core can always remain constant, and constant-tension wire conveying in a true sense is realized; and the constant-tension wire conveying mechanism is convenient to operate, the labor intensity is greatly lowered, the quality of products is ensured, and the mechanism is conducive to the improvement of competitiveness of enterprises. The making method provided by the invention is simple in process, low in cost and easy to implement, and can be adopted to quickly prepare the constant-tension wire conveying mechanism.