Rotary-torsion low-stress precision blanking has the characteristics of low consumption, high efficiency and high quality, and accurate damage prediction can lay a theoretical foundation for the selection of near-net shape forming process parameters for rotary-torsion low-stress precision blanking. Therefore, a coupled meso-damage model based on meso-damage mechanical theory and equivalent critical fracture strain-stress triaxiality theory was applied to predict the damage evolution during precision blanking, and the coupled meso-damage model parameters of 304 stainless steel were calibrated by the methods of microscopic analysis, theoretical analysis and reverse solution. Then, by comparing and analyzing the load-displacement curves obtained by coupled meso-damage model and uniaxial tensile experiment, the rationality of the coupled meso-damage model and its parameters was verified. Furthermore, the damage evolution process of rotary-torsion low-stress precision blanking under different loading speeds was numerically analyzed, and the precision blanking experiments were conducted to verify the correctness of numerical simulation results. The results show that the reasonable blanking efficiency and cross-section accuracy of blank can be obtained when the loading speed is 3 mm·s-1 depending on the comprehensive evaluation index of blanking quality as cross-section flatness and blanking time. Thus, the coupled meso-damage model can be used to predict the damage evolution of near-net shape forming method for rotary-torsion low-stress precision blanking, which provides the theoretical support for the reasonable selection of subsequent precision blanking process parameters.