A solid oxide fuel cell generator comprising: a plurality of cell mounting holes formed on the surface of a hollow dense substrate and having supports therein; and cell sections provided on recesses formed by the mounting holes and the supports, with adjacent cell sections being connected to each other by electrically conductive interconnections, in which a hollow longitudinal supply channel for supplying a fuel or fuel assistant gas is provided adjacent to the cell mounting holes in the substrate, the supply channel being kept at its other end in communication with a hollow section of the substrate inside the cell sections. The supply channel is preferably provided on both lateral sides of the substrate. The solid oxide fuel cell generator has a high areal efficiency of the cell generating part with respect to a substrate and a superior generating efficiency.