In order to make a start-up of an internal combustion engine as quick as possible, whereby an electrical power output, which is as small as possible, is required, it is proposed to at least periodically activate a direct starting control device for the generation of a combustion torque and an electrical starter for the generation of a starter torque simultaneously during the start-up. In so doing, the power output of the electric starter is controlled as a function of a current combustion torque, so that the starter is continually operated only at a currently required power output. For this purpose, the electric starter is, for example, controlled in an open- and/or closed-loop in such a way that the current total torque resulting from the current combustion torque and the current starter torque does not undershoot a specifiable set point torque.