In order to grind structured dimple surface, a topological mapping grinding method for structured dimple surface was proposed based on grinding kinematics principle and point set topology. Firstly, the topological space of the workpiece and the grinding wheel was established, and the topological features of the structured dimple surface and the structured grinding wheel were extracted based on the analysis of the morphology features of the structured surface with array, staggered and phyllotactic pattern. Then, the topology mapping equation of the grinding process was constructed based on the analysis of the generating mechanism of the dimple surface about grinding geometry, and the structured grinding wheel was designed according to the topology mapping equation. Finally, according to the grinding geometry simulation, the influence of grinding parameters on the generating of dimple surface morphology was studied, and the grinding experiment was carried out. The results show that the structured grinding wheel designed according to the topological features of the structured dimple surface can achieve the grinding of the structured dimple surface. The ground dimple surface is a topological dimple surface, and the feature parameters of the dimple surface can be changed with the change of grinding parameters, but the topological feature properties remain unchanged under the condition of satisfying the proper grinding speed ratio.