gasket illustrated all those areas of the basic member which could be designed to be deformable in height even if not in the combination shown when looking at fig1 a several principles of preferred embodiments of the present invention can also be recognized at least two sections of basic members which are not deformable in height are provided for each combustion chamber aperture and these are preferably located approximately diametrically opposite one another in the peripheral areas of the cylinder head gasket at least one section of a basic member not deformable in height is provided in the vicinity of each combustion chamber aperture the cylinder head gasket does however preferably have in its peripheral areas in the vicinity of each combustion chamber aperture at least two sections of basic members which are not deformable in height and are arranged so as to be adjacent to the two longitudinal sides of the gasket plate finally a design of the cylinder head gasket is preferred such that the screw holes adjacent to the combustion chamber apertures are surrounded by basic members or sections of basic members which are deformable in height at least over a predominant portion of their length in the case of an installed cylinder head gasket a chain case part produced as a separate component is located above and or below those peripheral areas of the cylinder head gasket which are adjacent to the chain case aperture 48 on the narrow side and on the two longitudinal sides of the cylinder head gasket and the course of the junction area between this part of the chain case and the engine block or the cylinder head has been indicated in fig1 a by a dash dot line it.