A　new　multiaxial　fatigue　damage　parameter　applied　to　maximum　amplitude　of　axial　and　circular　strain　is　presented.　The　parameter　which　reflects　the　effect　of　loading　paths,　is　convenient　for　application　because　it　does　not　have　any　material　constants.　Considering　the　average　stress　of　the　axial　and　circular　stress　responses　by　different　loading　paths,　a　new　multiaxial　fatigue　life　prediction　model　is　established　by　combining　the　multiaxial　fatigue　damage　parameter　with　the　Manson-Coffin　equation.　The　errors　between　the　predicted　fatigue　lives　and　multiaxial　fatigue　experimental　results　by　testing　four　materials　of　GH4169　alloy,　steel　45　and　Inconel　718　steel　and　304　stainless　steel　are　within　2　factors.