[Means for Solution] A solid oxide fuel cell apparatus including a fuel cell having a plate-shaped first solid electrolyte, an anode provided on one side of the first solid electrolyte and coming in contact with fuel gas, and a cathode provided on the other side of the first solid electrolyte and coming in contact with oxidizer gas. The solid oxide fuel cell apparatus further includes a cell-follow-up deformation member located on at least one of opposite sides of the fuel cell with respect to a first stacking direction along which the anode, the first solid electrolyte, and the cathode are stacked together. The cell-follow-up deformation member deforms according to a deformation of the fuel cell on the basis of at least one of physical quantities including differential thermal expansion coefficient and differential pressure.