In　topology　optimization　design　for　continuous　structure,　common　mechanical　properties　considered　in　optimization　model　focus　on　structural　strength,　stiffness　and　stability.　However,　fatigue　characteristic　of　structure　is　easily　ignored,　which　is　one　of　the　main　causes　of　engineering　failure.　Therefore,　it　is　necessary　to　consider　the　fatigue　characteristic　for　the　optimization　design　of　the　structure.　In　order　to　investigate　the　influence　of　fatigue　on　structural　topology　in　optimization　design,　fatigue　life　filter　function　is　introduced　and　then　the　model　and　solution　method　of　fatigue　topology　optimization　for　continuous　structures　are　proposed　based　on　independent　continuous　mapping　method　(ICM).　The　fatigue　topological　optimization　model　is　established　with　structure　minimum　weight　as　objective　and　fatigue　life　as　constraint,　and　the　model　is　solved　by　global　stress　constraint　method.　The　results　extend　the　ICM　method　and　this　basic　theory　provides　a　new　idea　for　fatigue　topology　optimization.　©　Published　under　licence　by　IOP　Publishing　Ltd.