The purpose of the present invention is to provide a nonlinear element with high productivity, which can be driven at low voltage, an element substrate including the nonlinear element, and a liquid crystal display device including the element substrate. A structure of the nonlinear element of the present invention includes a layer formed using a composite material containing an inorganic compound and an organic compound between a first electrode and a second electrode. Further, as the composite material containing the inorganic compound and the organic compound, a composite material, which exhibits nonlinear behavior in both cases of applying forward bias voltage and reverse bias voltage, is used.