A micromechanical system for detecting an acceleration includes a substrate, a rocker-like mass structure having a first lever arm and a diametrically opposed second lever arm, the lever arms being situated tiltably at a distance to the substrate and about an axis of rotation to the substrate, and first and second electrodes being provided on the substrate. Each electrode is diametrically opposed to a lever arm and each lever arm includes a section extending from the axis of rotation which is located between the electrodes above an intermediate space. The two sections have different masses.