A vehicle driving force control apparatus is provided for a vehicle having a drive source configured to drive a generator and an electric motor configured to drive an electric motor driven wheel by electricity from the generator. The vehicle driving force control apparatus basically has a driving force detection section and a driving force control section. The driving force detection section is configured to detect at least one of a requested acceleration amount and a vehicle traveling speed. The driving force control section is configured to set a target generator driving force from the drive source based on at least one of the requested acceleration amount and the vehicle traveling speed. The vehicle driving force control apparatus is configured to provide a batteryless electric motor four-wheel drive vehicle that can ensure stability when starting from a stop on a low friction coefficient road, while maintaining vehicle acceleration performance.