A steering control apparatus of vehicle includes a target yaw rate calculator, a target torque calculator, and a target torque corrector. The target yaw rate calculator calculates a target yaw rate that allows a vehicle to travel along a traveling course. The target torque calculator calculates target torque that is torque of an electric motor and allows the target yaw rate to be generated. The target torque corrector performs a correction process that calculates a correction gain directed to the target torque and corrects, with the correction gain, the target torque to cause the target torque to be increased. The target torque corrector performs the correction process when an instruction value based on the target torque is varied at a constant rate and on a condition that an absolute value of a motor rotation angle variation amount becomes equal to or less than a set value.