A　geometrically　nonlinear　topology　optimization　(GNTO)　method　with　thermal-mechanical　coupling　is　investigated.　Firstly,　the　new　expression　of　element　coupling　stress　due　to　superimposed　mechanical　and　thermal　loading　is　obtained　based　on　the　geometrically　nonlinear　finite　element　analysis.　The　lightweight　topology　optimization　(TO)　model　under　stress　constraints　is　established　to　satisfy　the　strength　requirement.　Secondly,　the　distortion　energy　theory　is　introduced　to　transform　the　model　into　structural　strain　energy　constraints　in　order　to　solve　the　implicit　relationship　between　stress　constraints　and　design　variables.　Thirdly,　the　sensitivity　analysis　of　the　optimization　model　is　derived,　and　the　model　is　solved　by　the　method　of　moving　asymptotes　(MMA).　Numerical　examples　show　that　temperature　has　a　significant　effect　on　the　optimal　configuration,　and　the　TO　method　considering　temperature　load　is　closer　to　engineering　design　requirements.　The　proposed　method　can　be　extended　to　the　GNTO　design　with　multiple　physical　field　coupling.