Abstract: The invention relates to a method for driving a motor vehicle and a drive system for a motor vehicle, solely for electro-motorized forward movement. At least one electrical motor is directly or indirectly connected to a drive shaft of the motor vehicle, which is supplied with electrical energy via an energy storage unit, to which energy is supplied with electrical charge current by a generator, driven by a gas engine. The invention is operated during forward movement of the motor vehicle such that an average power demand, which can be allocated to the electrical motor, equals an average power output, which can be allocated to the gas engine, so that a charge state, which can be allocated to the energy storage unit, does not change or changes solely within a charge state within a tolerable range.