In a braking force control system for a vehicle having a braking system capable of controlling braking force of each of right and left front wheels and right and left rear wheels independently of one another, when anti-skid control starts being performed on one of the front wheels while the vehicle is running on a road having different coefficients of friction on the left side and right side thereof, increase of the braking force of the other front wheel laterally opposite to the above-indicated one front wheel is suppressed, and increase of the braking force of at least one of the right and left rear wheels is suppressed.