Cylinder head gasket with a gasket plate comprising a plurality of sheet metal layers and at least one combustion chamber opening, an inner layer being arranged in the gasket plate directly between two functional layers having sealing beads arranged one over the other, which enclose the combustion chamber opening and have bead feet lying in the planes of the functional layers and bead crests with which sealing beads of the two functional layers all project over the functional layers in a first direction extending perpendicularly to the gasket plane, at least one ring zone of the inner layer being clamped between the bead feet of the one functional layer and at least one bead crest of the other functional layer when the gasket is pressed; to minimize arching of this ring zone, it is stiffened and/or those ring zone regions against which at least one bead crest of one functional layer lies when the gasket is pressed are supported by bead feet of the other functional layer.