A vehicle drive force control system reduces front-wheel drive force and rear-wheel drive force during unstable running of a vehicle. The front-wheel drive force is reduced with an increase in the running instability, and the front-wheel and rear-wheel drive forces are controlled during low-speed vehicle turning while traction control is effected for at least one of the front wheels. The result is that the front-wheel drive force can be reduced with a decrease in friction coefficient .mu. of a road surface, while the rear-wheel drive force can be reduced with an increase in turning angle of the vehicle and does not exceed the front-wheel drive force.