A power transmission device for a hybrid vehicle, comprising: first clutch means that is disposed in a drivetrain extending from an engine (E) installed in the vehicle to a driving wheel (D) and that is capable of transmitting or cutting off driving power of the engine (E) to the driving wheel (D); and second clutch means that is disposed in a drivetrain extending from a motor (M) installed in the vehicle to the driving wheel (D) and that is capable of transmitting or cutting off driving power of the motor (M) to the driving wheel (D), wherein the power transmission device is capable of appropriately operating the first clutch means and the second clutch means in accordance with driving conditions of the vehicle, wherein, when starting the engine (E) by transmitting power from the motor (M) to the engine (E) via the first clutch means and the second clutch means , the power transmission device slip-controls the first clutch means and the second clutch means so that a torque calculated by subtracting a torque transmitted by the first clutch means from a torque transmitted by the second clutch means becomes a predetermined torque, wherein the power transmission device comprises a transmission (A) that is disposed in a drivetrain between the engine (E) and motor (M) and the driving wheel (D), wherein a target transmission input torque is set in accordance with an accelerator opening degree, a vehicle speed, and a gear ratio, and wherein the power transmission device slip-controls the first clutch means and the second clutch means so that the predetermined torque becomes the target transmission input torque. first clutch means that is disposed in a drivetrain extending from an engine (E) installed in the vehicle to a driving wheel (D) and that is capable of transmitting or cutting off driving power of the engine (E) to the driving wheel (D); and second clutch means that is disposed in a drivetrain extending from a motor (M) installed in the vehicle to the driving wheel (D) and that is capable of transmitting or cutting off driving power of the motor (M) to the driving wheel (D), wherein the power transmission device is capable of appropriately operating the first clutch means and the second clutch means in accordance with driving conditions of the vehicle, wherein, when starting the engine (E) by transmitting power from the motor (M) to the engine (E) via the first clutch means and the second clutch means , the power transmission device slip-controls the first clutch means and the second clutch means so that a torque calculated by subtracting a torque transmitted by the first clutch means from a torque transmitted by the second clutch means becomes a predetermined torque, wherein the power transmission device comprises a transmission (A) that is disposed in a drivetrain between the engine (E) and motor (M) and the driving wheel (D), wherein a target transmission input torque is set in accordance with an accelerator opening degree, a vehicle speed, and a gear ratio, and wherein the power transmission device slip-controls the first clutch means and the second clutch means so that the predetermined torque becomes the target transmission input torque. <EOS>