An apparatus with torque vectoring control of a vehicle with an independent driving motor includes: one or more processors configured to: measure driving information including a steering angle, a yaw rate, a longitudinal velocity, lateral acceleration and longitudinal acceleration of the vehicle; calculate a driving aggressiveness (DA) index representing driving aggressiveness of a driver through an exponential weighted moving average (EWMA) operation using the driving information; calculate a target yaw rate based on the driving information and the DA index; and generate a control moment based on the driving information, the DA index and the target yaw rate, wherein, for the calculating of the DA index, the one or more processor are configured to calculate the DA index to have a higher value than a case of generating only longitudinal acceleration or a case of generating only lateral acceleration, in response to the longitudinal acceleration and the lateral acceleration being generated at a same time.