The present invention relates to a control device for vehicle power transferring device. If the engine torque TE generated by an engine (8) using the fuel except preset fuel, which is capable of transferring the power and connected with a speed change mechanism (10), exceeds the torque TES generated by using preset fuel, the vehicle starts to shift down at the accelerator opening degree when the accelerator opening degree on starting to shift down is lower than the accelerator opening degree in the condition of using the preset fuel. Namely the gearshift is performed at the gearshift point which can prevent the torque increasing according to the increase of engine torque TE generated by the engine, so as to prevent the rotational element of the speed change mechanism (10) from rotating at high speed during shift-down transition period. The control device for vehicle power transferring device prevents the durability of the speed change mechanism (10) from descending.