A　new　creep-fatigue　damage　cumulative　model　is　proposed　under　multiaxial　thermomechanical　random　loading,　in　which　the　damage　at　high　temperature　can　be　divided　into　the　pure　fatigue　damage　and　the　equivalent　fatigue　damage　from　creep.　During　the　damage　accumulation　process,　the　elementary　percentage　of　the　equivalent　fatigue　damage　increment　is　proportional　to　that　of　the　creep　damage　increment,　and　the　creep　damage　is　converted　to　the　equivalent　fatigue　damage.　Moreover,　combined　with　a　multiaxial　cyclic　counting　method,　a　life　prediction　method　is　developed　based　on　the　proposed　creep-fatigue　damage　cumulative　model.　In　the　developed　life　prediction　method,　the　effects　of　nonproportional　hardening　on　the　fatigue　and　creep　damages　are　considered,　and　the　influence　of　mean　stress　on　damage　is　also　taken　into　account.　The　thermomechanical　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　model.　The　results　showed　that　the　proposed　method　can　obtain　satisfactory　life　prediction　results.