Disclosed is system for a hybrid vehicle in which a rotor in a motor is continuously and directly connected to a transmission and is rotatable with the transmission. A first stator mounted around an exterior side of the rotor is directly connected to a shaft of the engine to be rotatable with the shaft of the engine, and a second stator is fixedly mounted to the exterior side of the motor housing around the rotor. The system may further include a lock-up clutch configured to selectively connect a rotation shaft of the rotor with the shaft of the engine, a first inverter configured to control an operation of the first stator, and a second inverter configured to control an operation of the second stator.