In order to ensure the processing accuracy of the core components of packaging machinery and improve the performance of the grinding wheel dresser, a three-dimensional model of the wheel dresser is constructed in SolidWorks and imported into ANSYS Workbench to carry out stiffness and modal analysis. The simulation settings are completed by defining the boundary conditions, material properties, constraint loads and mesh division, and the Block Lanczos method is adopted for modal solution to obtain the deformation, stress, strain and vibration characteristics of the dresser under the stress state. Based on the simulation data, the weak structures of the dresser are identified, and the structural optimization design is carried out for the weak structures. The results show that the deformation of the dresser structure is reduced by 11.9% and the stress is reduced by 19% after the optimization. This study verifies the effectiveness of the structural improvement and improves the stiffness and overall performance of the dresser.