Topology optimization aims at finding the best path of force transmission in the design domain under given constraints and realizes the design of lightweight.The greater economic benefit of topology optimization comparing with that of size optimization and shape optimization has attracted many scholars and experts.Fatigue is a complex mode of failure,and the structure is prone to fatigue failure under the long cycle working load in engineering application.Therefore,it is necessary to consider the fatigue characteristic for the optimization design of structure,which is more suitable for the actual requirements of the engineering.