A　path-dependent　cycle　counting　method　is　proposed　by　applying　the　distance　formula　between　two　points　on　the　tension-shear　equivalent　strain　plane　for　the　identified　half-cycles　first.　The　Shang-Wang　multiaxial　fatigue　damage　model　for　an　identified　half-cycle　and　Miner＇s　linear　accumulation　damage　rule　are　used　to　calculate　cumulative　fatigue　damage.　Therefore,　a　multiaxial　fatigue　life　prediction　procedure　is　presented　to　predict　conveniently　fatigue　life　under　a　given　tension　and　torsion　random　loading　time　history.　The　proposed　method　is　evaluated　by　experimental　data　from　tests　on　cylindrical　thin-walled　tubes　specimens　of　En15R　steel　subjected　to　combined　tension/torsion　random　loading,　and　the　prediction　results　of　the　proposed　method　are　compared　with　those　of　the　Wang-Brown　method.　The　results　showed　that　both　methods　provided　satisfactory　prediction.