Based　on　the　Wang-Brown　method,　a　time-dependent　multiaxial　cycle　counting　algorithm　was　proposed　under　multiaxial　thermomechanical　variable　amplitude　loading.　By　using　the　proposed　multiaxial　cycle　counting　algorithm,　a　new　thermo-mechanical　fatigue　life　prediction　method　was　proposed,　in　which　the　pure　fatigue　damage,　creep　damage,　and　the　interaction　damage　taking　into　account　the　interaction　modulus　varying　with　temperature　were　calculated　for　each　reversal　counted　by　the　cycle　counting　algorithm.　Three　types　of　damage　from　all　the　counted　reversals　for　the　whole　strain-time　history　were　accumulated,　and　the　thermo-mechanical　multiaxial　fatigue　life　can　be　predicted.　The　thermo-mechanical　fatigue　experimental　data　for　thin-walled　tubular　specimen　of　superalloy　GH4169　under　multiaxial　constant　amplitude　and　variable　amplitude　loadings　were　used　to　verify　the　proposed　method.　The　results　demonstrated　that　the　proposed　method　can　provide　very　satisfactory　prediction　results.