A power transmitting apparatus for a hybrid vehicle can transmit the driving force of engine E to the motor M or reversely the driving force of motor M to the engine E when the vehicle is stopped while avoiding transmission of the driving force of either of them to the driving wheels D such that the vehicle remains stopped. In some embodiments, a power transmitting apparatus for a hybrid vehicle can comprise a first clutch operatively posited between an engine mounted on a vehicle to driving wheels in a power transmission system and configured to transmit or cutoff driving force of the engine to or from the driving wheels; a second clutch operatively positioned between a motor mounted on a vehicle to the driving wheels in a power transmission system and configured to transmit or cut off driving force of the motor to or from the driving wheels. The first and second clutches can operated based on the vehicle operating conditions such that power can be transmitted from one of the engine and the motor to the other of them by connecting them to each other while cutting off power transmission from the engine and the motor to the driving wheels.