The safety monitoring of an electrical gas-pedal system having a desired-value transmitter (2), a controller unit (3), a controlling element (4) and safety contacts (8 and 9 respectively) associated with the desired-value transmitter and the controlling element includes the possibility of checking the safety contact (9) of the controlling element even if, as a result of an increased idling-speed-of-rotation control position or a mechanical limitation, the control position of the controlling element lies above the switch point of the safety contact. For this purpose, when the engine speed of rotation exceeds a given threshold value (ns) which results from the increased idling speed of rotation plus a safety margin, in the absence of a corresponding signal from the desired-value transmitter push operation is recognized by the controller unit (3), and the controlling element (3) is moved back to such an extent that the safety contact (9) must have switched. If a switching of the safety contact (9) does not take place then an error response is brought about.