A steering control apparatus, comprising: a steering torque detection means for detecting steering torque of a steering mechanism steered by a driver of a wheeled vehicle; a vehicle speed detection means for detecting a vehicle speed of the wheeled vehicle; a motor for giving steering assist force thereby to the steering mechanism; a steering-shaft reaction-torque calculation means for detecting or calculating steering-shaft reaction torque acting on a steering shaft of the steering mechanism; a basic assist instruction-value calculation means for calculating a basic assist instruction-value being an electric current instruction-value to cause a current flow in the motor, based on steering torque detected by the steering torque detection means, and a vehicle speed detected by the vehicle speed detection means; a friction transition-state determination means for determining a friction transition-state, based on the steering-shaft reaction torque; characterized by further comprising: an assist instruction-value correction means for calculating, based on a result of the friction transition-state determination means, an assist correction value in order to obtain an assist instruction-value after its correction being made by correcting the basic assist instruction-value so that a hysteresis width of steering torque increases at a time of turn-back steering; and an electric current driving means for driving the motor so that an electric current of the motor is coincident with an electric current instruction-value therefor after its correction being made on a basis of the assist instruction-value after its correction being made, wherein the friction transition-state determination means determines a friction transition-state by integrating a differential value of the steering-shaft reaction torque using an integrator having a limiting function to an upper or lower limit value defined in advance. a steering torque detection means for detecting steering torque of a steering mechanism steered by a driver of a wheeled vehicle; a vehicle speed detection means for detecting a vehicle speed of the wheeled vehicle; a motor for giving steering assist force thereby to the steering mechanism; a steering-shaft reaction-torque calculation means for detecting or calculating steering-shaft reaction torque acting on a steering shaft of the steering mechanism; a basic assist instruction-value calculation means for calculating a basic assist instruction-value being an electric current instruction-value to cause a current flow in the motor, based on steering torque detected by the steering torque detection means, and a vehicle speed detected by the vehicle speed detection means; a friction transition-state determination means for determining a friction transition-state, based on the steering-shaft reaction torque; characterized by further comprising: an assist instruction-value correction means for calculating, based on a result of the friction transition-state determination means, an assist correction value in order to obtain an assist instruction-value after its correction being made by correcting the basic assist instruction-value so that a hysteresis width of steering torque increases at a time of turn-back steering; and an electric current driving means for driving the motor so that an electric current of the motor is coincident with an electric current instruction-value therefor after its correction being made on a basis of the assist instruction-value after its correction being made, wherein an assist instruction-value correction means for calculating, based on a result of the friction transition-state determination means, an assist correction value in order to obtain an assist instruction-value after its correction being made by correcting the basic assist instruction-value so that a hysteresis width of steering torque increases at a time of turn-back steering; and an electric current driving means for driving the motor so that an electric current of the motor is coincident with an electric current instruction-value therefor after its correction being made on a basis of the assist instruction-value after its correction being made, wherein the friction transition-state determination means determines a friction transition-state by integrating a differential value of the steering-shaft reaction torque using an integrator having a limiting function to an upper or lower limit value defined in advance.