A process model of the bending angle in laser-bending shaping of tubes is built by using the response surface method and its reliability is demonstrated with the designed experiment. The interactive influences of the process parameters such as the distance from free edge, the irradiation length, the scanning angle and the number of scanning on the bending angle are analyzed based on this model. The results show that the distance from free edge, the number of scanning and the irradiation length have significant influences on the bending angle, but the scanning angle has little influence. The irradiation length has a weak interaction with the number of scanning, but a strong one with the distance from free edge.