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We present a computational insight into the hydrogenation of CO2 catalyzed by a serious of classical catalysts,[Cp*M(6,6-R2-bpy)(OH2)]SO4(M = Co,Rh,Ir,bpy = 2,2-bipyridine,R = OH).Our research has revealed that the mechanism mainly consists of two step,the heterolytic cleavage of H2 and the hydride transfer to the CO2.The heterolytic cleavage is the rate determining step(RDS).The origin of metal effects mainly attributes to the backdonation ability.Two outer sphere different hydride transfer mode was compared and the results suggested that the functional group played a versatile role in the catalytic cycle.These findings are expected to provide useful guidelines for the rational design of highly efficient transition metal catalysts for Carbon Dioxide fixation.