Abstract: Core shrouds are conventionally welded together from cylindrical parts and annular flanges, wherein cracks have recently occurred in the region of weld seams in reactors of the boiling-water type. A core shroud, in particular for cladding a reactor core in a boiling-water nuclear reactor and a method for repairing a core shroud, include recesses disposed transversely relative to the circumferentially extending weld seams. The recesses have a middle part which passes through a region that is thermally influenced during welding as well as transverse grooves or widenings located in front of ends of the middle part and lying outside the thermally influenced region. A clamp which is fitted into the recess is disposed approximately flush with a shroud surface and is wedged in one of the transverse grooves.