A motor vehicle roof shell having a rigid composite component having an inner side facing a vehicle interior, and an acoustic insulation layer disposed on the inner side of the composite component. The panel-type rigid composite component has at least one tray-like recess on its inner side, said recess being filled with an open-pored foam material which forms the acoustic insulation layer and whose surface is flush with a surface of the composite component surrounding the recess. A motor vehicle roof shell motor vehicle having a panel-type rigid composite component having an inner side, which faces the vehicle interior, and an acoustic insulation layer disposed on the inner side of the composite component, wherein the acoustic insulation layer is formed by at least one rigid-foam or semi-rigid-foam plate which is bonded to the inner side of the composite component and compressed that its volume is reduced compared to preassembly state.