Abstract: Process deformation caused by unreasonable process parameters during the machining of spiral bevel gears reduces gear transmission accuracy and load-carrying capacity while shortening service life. In order to explore the spiral bevel gear cutting process, processing process parameters on the gear deformation of the influence of the law. A three-dimensional single-tooth cutting model of spiral bevel gear was established based on the machining characteristics of the curved bevel gear forming method. Single-factor and orthogonal experiments were designed with cutting speed, feed rate and depth of cut as test variables. Based on the experimental data, a prediction model between machining deformation and cutting parameters was constructed by response surface methodology, and the model accuracy was verified. The process parameters were optimized by particle swarm algorithm to obtain the optimum combination of machining process parameters in the range as cutting speed 235 m/min, feed 0.1 mm/r and depth of cutting 1.0 mm. Experimental verification of the optimal process parameter combinations is carried out, and the overall error between the simulated deformation values and the experimental values is controlled within 10%.