Dielectric properties of hydrogen-bonded materials, 1) squaric acid with a two-dimensional network, 2) hydrogen-bonded chain systems and 3) isolated systems, are discussed. In squaric acid, we have found two types of phase change, that is, conventional order-disorder-type dielectric transition and deformation of the proton-potential from a double- to single-well type. In the case of one-dimensional system, we have found the kink-type defects due to the degeneracy of the hydrogen-bonded chain. In the isolated system, we have observed a variety of dielectric transitions, and discuss the probability of the proton-tunneling.