A　new　calculation　approach　is　suggested　to　the　fatigue　life　evaluation　of　notched　specimens　under　multiaxial　variable　amplitude　loading.　Within　this　suggested　approach,　if　the　computed　uniaxial　fatigue　damage　by　the　pure　torsional　loading　path　is　larger　than　that　by　the　axial　tension-compression　loading　path,　a　shear　strain-based　multiaxial　fatigue　damage　parameter　is　assigned　to　calculate　multiaxial　fatigue　damage;　otherwise,　an　axial　strain-based　multiaxial　fatigue　damage　parameter　is　assigned　to　calculate　multiaxial　fatigue　damage.　Furthermore,　the　presented　method　employs　shear　strain-based　and　axial　strain-based　multiaxial　fatigue　damage　parameters　in　substitution　of　equivalent　strain　amplitude　to　consider　the　influence　of　nonproportional　additional　hardening.　The　experimental　data　of　GH4169　superalloy　and　7050-T7451　aluminium　alloy　notched　components　are　used　to　illustrate　the　presented　multiaxial　fatigue　lifetime　estimation　approach　for　notched　components,　and　the　results　reveal　that　estimations　are　accurate.