The invention relates to a sensor device for a motor vehicle, comprising a multi-layer circuit board (2), on which a plurality of metallization levels are formed. A capacitive sensor electrode is formed on one of the metallization levels for detection by means of capacitive proximity sensing. A control device (3) controls the sensor electrode as a capacitive sensor electrode in order to detect approaches of a user toward the sensor electrode by means of an evaluating device. At least one planar electrode region (11, 12, 13, 14, 15, 16, 17, 18, 19) is formed on each of a plurality of the metallization levels, wherein each of the electrode regions is coupled to the control device (3). At least two of the electrode regions on different metallization levels are controlled and evaluated as sensor electrodes in alternation in time, and at least two of the electrode regions on different metallization levels are controlled and evaluated as a ground in alternation in time.