One object of the present invention is to provide a power transmitting apparatus of a hybrid vehicle which can keep stoppage of a vehicle with avoiding the transmission of driving force to the driving wheels when trying to transmit the driving force of engine to the motor or reversely the driving force of motor to the engine during stoppage of a vehicle. According to the present invention there is provided a power transmitting apparatus of a hybrid vehicle comprising a first clutch means arranged on the way of a power transmitting system from an engine mounted on a vehicle to driving wheels and adapted to transmit or cut-off the driving force of the engine to or from the driving wheels; a second clutch means arranged on the way of a power transmitting system from a motor mounted on a vehicle to the driving wheels and adapted to transmit or cut-off the driving force of the motor to or from the driving wheels; and the first and second clutch means being properly operated in accordance with running conditions of vehicle characterized in that the power transmission from one of the engine and the motor to the other of them can be performed with connecting them each other as well as with cutting-off the power transmission from the engine and the motor to the driving wheels.