Cable is a vital force-transmission component of the long-span space-cable-network structure and is the core of safety operations because of the potential risk of damage and destruction. Thus, the force state of cables in real time must be elucidated. An intelligent cable with fiber Bragg grating embedded in a center wire can effectively avoid damage to a sensing unit during transportation and installation as well as realize the real-time perception of the cable force. In this study, a calibrated intelligent cable is applied to the saddle-like space cable network of the Shunde Sports Center swimming pool, and the cable force is monitored during the installation of the cable-network tension. The sensitivities of cable load monitoring and stable cable load monitoring are approximately 6.6 and 2.6 pm/KN, respectively, and the difference in the measured cable force and jack is within 5% after the tension is completed. The cable force measured by the intelligent cable is similar to the value of oil pressure. The measured cable force during the installation of the cable-network tension is consistent with the theoretical-analysis trend. The measured cable force is less than 40% of the cable breaking force. Applying intelligent cables to cable-network structures can facilitate cable-force monitoring.