In a driving force control apparatus for an automotive vehicle employing an engine that drives a main drive wheel, a generator driven by the engine, and a motor driven by an electric power output generated by the generator to drive a subsidiary drive wheel, a subsidiary-drive-wheel acceleration slip estimation circuitry is provided to estimate a subsidiary-drive-wheel acceleration slip rate. An electric power output suppression circuitry is provided to suppress the electric power output of the generator when the estimated subsidiary-drive-wheel acceleration slip rate exceeds a predetermined slip rate. Also provided is a subsidiary-drive-wheel acceleration-slip period engine output torque reduction circuitry that reduces an engine output torque responsively to suppressing the electric power output.