The present invention relates to cylinder head gaskets on internal combustion engines, with at least three layers, namely a mid-layer, a function layer and a layer of a compression limiter. The mid-layer is arranged between the function layer and the compression limiter. The mid-layer has at least two essentially round fixing openings, outside a sealing region. The compression limiter is beaded around the edges of the fixing openings in the region thereof, and in this way fixes the compression limiter to the mid-layer. The function layer has recesses in the region of the fixing openings of the mid-layer, in order to accommodate the beaded region of the compression limiter, without increasing the total thickness of the gasket in the region of the fixing of the compression limiter.