The stabilization accuracy is the key indicator to measure the performance of electro-optical platform, the disturbance torque has the greatest influence on the stabilization accuracy, and the cable elastic moment is an important component of the disturbance torque. Therefore, reducing the cable elastic moment is of great significance to improve the stabilization accuracy of the electro-optical platform. The mathematical model of electro-optical stabilized platform and cable elastic moment were established and the influence of elastic moment on stabilization accuracy was quantitatively analyzed. On this basis, a method to reduce the cable elastic moment was proposed. By applying this method to actual products, the results prove that the method can reduce the elastic moment by 0.180 N·m and decrease the angle change of optical axis by 16.3%.