A system for triggering passive occupant safety measures in a motor vehicle is described. The system includes a control unit, a plurality of acceleration sensors for detecting the acceleration caused by an impact of the motor vehicle as well as feed lines assigned to the acceleration sensors, by which feed lines the output signals of the acceleration sensors are transmitted to the control unit which analyzes the signals to determine the type and/or severity of the impact, and triggers appropriate safety measures. The sensors are mounted on a vehicle part of a low structural stiffness on the outer vehicle circumferences, and all surrounding vehicle parts of high stiffness are designed to prevent contact with the sensors after an impact of the motor vehicle of a low or medium severity within a minimum reaction time period.