A new family of oxycarbonate superconductors, the synthesis and their physical properties, has been reviewed. In 1992, Miyazaki et al. have synthesized the new compound Sr2CuO2 (CO3), which opened to the new family of oxycarbonate superconductors. On the basis of“block layers concept”, we have attempted to design a series of oxycarbonate compounds having the new crystal structure and made superconductivity by an appropriate carrier doping and, succeeded to synthsize many new oxycarbonate superconductors.