An acceleration sensor having a mass which is movably supported outside its center of gravity, first electrodes on the mass and second electrodes located at a distance therefrom forming a capacitive sensor in order to determine a change in position of the mass as a function of time. At least one spring element which generates a restoring force when the mass is deflected from its neutral position is provided on the side of the mass facing the capacitive sensor. The mass may be obtained by being exposed from a material layer, and the mass is surrounded, at least at its side faces, by this material.