A　new　fatigue　life　prediction　approach　for　notched　components　is　proposed　under　multiaxial　cycle　loading.　Firstly,　the　pseudo　equivalent　strain-real　equivalent　stress　relationship　is　determined　by　utilizing　the　Neuber＇s　rule　and　the　material　stress-strain　relation　under　proportional　loading.　Secondly,　the　pseudo　elastic　strain　histories　at　the　notch　need　to　be　solved　for　the　investigated　notched　components　under　multiaxial　cyclic　loading.　Thirdly,　for　the　pseudo　elastic　strain　histories,　it　is　proposed　that　the　Shang-Wang　multiaxial　fatigue　damage　parameter　can　be　used　to　substitute　the　equivalent　strain　under　proportional　loading　to　take　account　of　the　additional　hardening　due　to　the　non-proportionality　of　external　loadings.　Meanwhile,　the　real　equivalent　stress　amplitude　at　the　notch　can　be　solved.　Fourthly,　based　on　the　real　equivalent　stress　amplitude　at　the　notch　integrated　with　the　Neuber＇s　rule,　the　real　equivalent　strain　amplitude　can　be　determined.　Finally,　the　real　equivalent　strain　amplitude　is　utilized　to　predict　the　fatigue　crack　initiation　lifetime　of　notched　components.　The　proposed　method　is　verified　by　the　experimental　data　of　SAE　1045　notched　shaft　specimens　under　proportional　and　non-proportional　cyclic　loading.　The　results　showed　the　prediction　errors　are　mostly　within　a　factor　of　2.