Described and illustrated is a pressure bulkhead for an aircraft fuselage, comprising a sandwich structure defining a central axis and extending between a circumferential border area which is configured for being mounted to a fuselage shell, wherein the sandwich structure comprises an inner face sheet extending perpendicularly with respect to the central axis, an outer face sheet opposite the inner face sheet, extending perpendicularly with respect to the central axis, and a core assembly sandwiched between the inner face sheet and the outer face sheet, wherein the inner face sheet, when viewed in a radial cross section along the central axis, has an even shape. The object of the present disclosure, to provide a pressure bulkhead for an aircraft fuselage, wherein the required weight is reduced, is achieved in that the outer face sheet, when viewed in the radial cross section along the central axis, has a convex shape, wherein the distance between the outer face sheet and the inner face sheet increases tangent continuously from the border area to the central axis.