In　the　present　work,　combined　high　and　low　cycle　fatigue　(CCF)　tests　were　performed　on　GH4169　nickel-based　alloy　under　stress-controlled　conditions.　The　interaction　between　high　cycle　fatigue　(HCF)　and　low　cycle　fatigue　(LCF)　results　in　a　complex　process　of　fatigue　damage　evolution　under　CCF　loading.　Based　on　the　fatigue　damage　curve　and　the　theory　of　equivalent　damage,　considering　the　interaction　between　HCF　and　LCF　loading,　a　nonlinear　cumulative　damage　model　is　proposed　under　CCF　loading.　The　proposed　model　is　deduced　from　the　fatigue　damage　curve　under　CCF　loading,　which　establishes　a　connection　between　the　LCF　and　HCF　damage　curve.　Three　materials,　including　the　other　two　materials,　namely　TC11　and　Al　2024-T3,　published　in　the　relevant　literature,　are　used　to　verify　the　proposed　model.　The　experimental　results　demonstrate　that　the　proposed　model　has　better　prediction　results　than　those　for　Miner＇s　rule　and　the　Trufyakov-Kovalchuk　(T-K)　model.　The　validation　of　the　proposed　model　shows　its　superior　performance.　©　2023　Elsevier　Ltd