METHOD OF CONTROLLING TORQUE OF DRIVE SYSTEM OF ELECTRIC VEHICLE

A method of controlling a torque of a drive system of an electric vehicle, includes determining, by a controller, a total torque command based on required torque according to a vehicle driving state while driving of the vehicle, determining whether a backlash band evasion mode is in an ON state or an OFF state, front wheel torque control or rear wheel torque control for evading a backlash band being performed in the mode, determining whether transition of the vehicle driving state to the ON state of the backlash band evasion mode is allowed when the backlash band evasion mode is in the OFF state, and controlling the backlash band evasion mode using a front wheel torque command and a rear wheel torque command determined from the total torque command in the ON state of the backlash band evasion mode when the transition is allowed.