The effects of different process parameters on the deformation mode and deformation amount of single-curvature forming parts and S-shaped double-curvature special-shaped parts of 2024 aluminum alloys are studied by the laser peen forming experiments, the manufacturing methods of S-shaped double-curvature special-shaped parts are analyzed, and the three-dimensional distortion part is obtained in experiments. The results show that, if increasing the laser pulse energy or decreasing the sample thickness, the concave deformation of samples is more likely to occur, otherwise the convex deformation occurs. The deformation amount of sample increases when the shock area and the coverage rate increase, but the deformation mode dose not change. The formation regularity of S-shaped double-curvature special-shaped parts is consistent with that of single-curvature forming parts. In order to obtain S-shaped double-curvature special-shaped parts of 2024 aluminum alloys, a "concave+concave" deformation mode can be adopted for thin plates, while for thick plates, the "convex+convex" deformation mode can be adopted.