A micromechanical acceleration sensor includes a substrate, an elastic diaphragm which extends parallel to the substrate plane and which is partially connected to the substrate, and which has a surface region which may be deflected perpendicular to the substrate plane, and a seismic mass whose center of gravity is situated outside the plane of the elastic diaphragm. The seismic mass extends at a distance over substrate regions which are situated outside the region of the elastic diaphragm and which include a system composed of multiple electrodes, each of which together with oppositely situated regions of the seismic mass forms a capacitor in a circuit. In its central region the seismic mass is attached to the elastic diaphragm in the surface region of the elastic diaphragm which may be deflected perpendicular to the substrate plane.