In a steering system for a vehicle incorporated with a rear drive electric motor (5) for driving a pair of rear wheels (3rl, 3rr) that can function as a regenerative brake for the rear wheels, a steering torque control unit (38) reduces a steering assist torque provided by the power steering assist unit (21) when the rear drive electric motor is providing a regenerative braking. When the rear wheels are braked by a regenerative braking action without substantially applying a brake to the front wheel, the vehicle may acquire a temporal oversteer tendency. However, by increasing the effort required to steer the front wheels, such a tendency can be canceled or compensated, and the vehicle operator is enabled to control the vehicle without experiencing any unfamiliar feeling or discomfort. The effort required to steer the front wheels can be increased by decreasing the assist steering torque or providing a reactive steering torque at such a time.