A method for producing steam generator tube walls, where the tube walls are formed from a tube-fin-tube combination and are comprised of a multiplicity of at least one of the tube wall components made of plane tube wall panels, curved tube wall panels, transition tube wall panels and corner bends and are configured with a take-up member with one penetration opening each at tube wall regions at which tubes are passed through the tube wall and the tube wall panels exhibit at the periphery longitudinal fin-fin panel joints and transverse circumferential weld-panel joints. The method including producing tube wall components made primarily of 9-12% martensitic chromium steels by welding in a workshop, the components having a material that is not to be heat treated at specific locations. Tempering the tube wall components in the workshop with a first heating device. Connecting the tube wall components at their circumferential weld-panel joints at the assembly site with weld seams. Tempering the weld seams at the assembly site with second heating devices. Connecting the tube wall components at their fin-fin panel joints at the assembly site with weld seams without subsequent tempering of these weld seams. Passing the prepared tubes through the take-up members of the tube walls and connecting the pipe with the take-up members at the assembly site with a weld seam without subsequent tempering of these weld seams.