The present invention provides, in a vehicular power transmitting apparatus including a differential portion electrically controlled, a control device which can quickly decrease the engine rotation speed, even if the operational state of an electric motor is limited. An engine-stop controlling means (112) includes limiting means for limiting the differential state of a differential portion (11) by a switching brake (B0) and a switching clutch (C0) when the operational state of a first electric motor (M1) is limited. Therefore, a torque in a direction for decreasing a rotation speed (NE) of an engine (8) is applied by limiting the differential state of the differential portion (11), for example, in a vehicle stopped state. As a result, the rotation speed (NE) of the engine (8) is quickly decreased to pass through a resonance point in a short time, whereby occurrence of resonance phenomena can be prevented.