A process for producing a combustor structural member, the process comprising a plate-like assembly formation step of brazing a first plate-like member formed from a heat-resistant alloy, and a second plate-like member formed from a heat-resistant alloy and having a plurality of fins on the surface, with the second plate-like member positioned with the fins facing the first plate-like member, by interposing a brazing filler metal comprising a melting point lowering element between the two plate-like members, thereby forming a plate-like assembly, a press molding step of press molding the plate-like assembly to form a combustor structural member of the desired shape, a strain location identification step of identifying, in accordance with the shape of the combustor structural member, strain locations where the strain generated during the press molding step exceeds a predetermined value, a localized heating step of performing localized heating of the locations within the plate-like assembly corresponding with the strain locations identified in the strain location identification step, and a cold press molding step, which is performed as the above press molding step and comprises subjecting the plate-like assembly to cold press molding with the temperature of the heated locations corresponding with the strain locations maintained at a desired temperature.