A control method for an electronic limited slip differential of a vehicle includes: determining by a controller, whether the vehicle is in an understeer state or an oversteer state when the vehicle is turning; and performing driving force movement control by the controller. In particular, when the vehicle is in the understeer state and an actual driving force of an inner wheel of the vehicle is greater than an allowable driving force of inner wheel, the controller increases the control torque of the electronic limited slip differential and transfers the inner wheel driving force to the outer wheel of the vehicle.