Functional structures are widely used in the field of aerospace and satellite communication,the machining of large curvature non-developable surface ectromagnetic functional structures is still a very important subject. In this paper, the laser control software and the guide rail motion control software are integrated and developed, and the method of zoned machining is combined to achieve laser etching of the electromagnetic functional structure of the spherical shell non-developable surface. The 304 stainless steel hemispherical surface with a diameter of 100 mm is divided into two areas. In the two areas, 3D projection and rotary processing are adopted respectively to better ensure the processing quality of the unit structure. 3D projection is applied to the area with angle β<45°of the cutting plane, which can form the laser machining track at one time, omits the multiple motions of layered machining, greatly improves the unit machining efficiency and ensures the machining accuracy. In the β>45°region, the sample rotation mode is used to adjust the position of the laser beam and the spherical element to be machined synchronously, so as to ensure that the laser beam and the spherical element to be machined coincide with the normal direction, reduce the laser incidence angle, and effectively improve the accuracy of the machining unit. Two quantization parameters, removal rate and root-mean-square difference of sample points, were selected to evaluate the machining quality. The results showed that the removal rate was basically in the range of 1.00~1.03, and the root-mean-square difference of sample points was basically kept in the range of 10~35 μm, and the overall machining effect was remarkable.