In a method of operating a motor vehicle driven electrically, at least temporarily, on a roadway, the motor vehicle is moved fully autonomously by a control unit in response to a command for automatic operating mode. After a charging arm of the motor vehicle has been extended, a lateral control of the motor vehicle is executed to bring the extended charging arm into electric contact with a charging line arranged at or on the roadway. As a result, electric energy provided from the charging line to the charging arm is used for charging an energy accumulator of the motor vehicle and/or operating a drive device of the motor vehicle for moving the motor vehicle. A longitudinal control of the motor vehicle is executed to thereby maintain a predefined longitudinal speed of the motor vehicle until a distance of the motor vehicle reaches a predefined minimum distance to a leading vehicle.