A fuel injection system, in particular for direct injection of fuel into the combustion chamber of an internal combustion engine has a plurality of fuel injectors, whose injection ends, at least, are situated in receptacle bore holes of a cylinder head. The inlet side of the fuel injectors has a connecting piece, which engages with a supply line segment. Pressurized fuel is supplied to the fuel injector via the supply line segment. The connecting piece is sealed off from the supply line segment by a gasket. The gasket has a sleeve-shaped design and has a plastically deformable shaped area, which is plastically deformed during the assembly of the supply line segment with the connecting piece, and has elastic properties while in operation.