An　elastoplastic　finite　element　analysis　is　adopted　for　thin　tubular　and　notched　specimens　under　biaxial　proportional　and　nonproportional　tension-torsion　loading　at　high　temperature.　Elastoplastic　material　property　is　described　by　the　Von　Mises　yield　criterion,　the　multilinear　kinematic　hardening　rule　and　uniaxial　cyclic　stress-strain　data　under　high　temperature.　Tension-torsion　loading　with　strain　controlling　is　carried　out　by　applying　the　axial　and　circular　displacement　on　one　end　of　the　specimen　in　the　cylindrical　coordinate　system.　The　method　is　proved　suitable　by　comparison　between　FEA　and　experimental　results.　Then　the　elastoplastic　finite　element　method　is　used　to　the　notched　specimens.　The　local　cyclic　stress-strain　responses　at　notch　root　are　obtained.　Fatigue　crack　initiation　life　is　predicted　on　the　basis　of　the　local　stress-strain　data　with　Kandil-Brown-Miller　and　Smith-Watson-Topper　models.