A method may include distributing target torque to target engine torque of an engine and target motor torque of a motor according to a predetermined control logic according to driver demand torque, comparing torques which determines whether actual torques of the engine and the motor are smaller than the target engine torque and the target motor torque, comparing whether a time period during which a state where a state where the torque of the engine or the motor is insufficient is maintained is a predetermined reference time or more, determining that any one of the engine and the motor is failed, when the time during which a state where the state where the torque of the engine or the motor is insufficient is maintained is the reference time or more, and controlling limp-home which limits the target engine torque of the engine, the target motor torque of the motor, and the regenerative braking amount of the motor.