Ｒegarding the climate feedback economic losses caused by GHG emissions，how to guide the directed technological innovation exactly to achieve long-term green growth has become a major challenge．Based on DICE model，a nonlinear optimal control model，which considers the equilibrium，inclusiveness and sustainability of green growth，is established to reconstruct the endogenous relationship between the dynamic factors of directed technological innovation and climate innovation．The numerical simulation shows that: firstly，the climate feedback economic losses should not be underestimated; secondly，under the guidance of green technological innovation stressing production，social production is powerful but there is a risk of environmental degradation; under the guidance of green technological innovation stressing emission reduction，climate feedback economic losses are small but a risk of lack of growth momentum exists．Although，long-term green growth can be achieved by both directions，neutral green technological innovation will be more stable．Finally，the rate of per-capita consumption will be improved significantly in the short term under the first guidance．