A control device for a vehicle power transmission device including an electrical differential motion portion in which a differential state between input shaft rotation speed and output shaft rotation speed is controlled through control of the operation state of an electric motor linked to a rotating element of a differential motion portion, and a power connection-disconnection device constituting a portion of a power transmission path, includes a controller that lessens a transmission capacity of the power connection-disconnection device if during a switch of the state of the vehicle power transmission device from a non-driving state to a driving state, a change in input torque to the vehicle power transmission device occurs, in comparison with when the change in the input torque does not occur. Therefore, the control device reduces the shift shock when the vehicle power transmission device is switched from the non-driving to the driving state.