An SOFC stack module including an integral individual stack manifold containing all of the gas pathways necessary for supply and exhaust of fuel gas and cathode air to and from the stack chimneys. The stack is mounted and hermetically joined directly to the manifold without an intermediate base plate. Flanges at the inlet and outlet ports couple to system distributary manifolds via high temperature sealing joints. The manifold preferably is fabricated of a ferritic stainless steel, and may be formed in a one-piece casting, a combination of multiple castings and stamped plates metallurgically joined (brazed or welded together), or stamped from sheet metal stock. Preferably, the manifold includes fin structures extending into adjacent fuel gas and cathode air chambers to enhance balancing of temperatures by heat exchange therebetween. Heat exchange may be further improved by configuring the manifold to have a plurality of interleaved anode and cathode gas supply chambers.