The invention relates to a fuel pump for a fuel system of an internal combustion engine, having a housing and a housing cap joined to the housing. In order to create a fuel pump which in its operation generates little airborne sound, structure-borne sound (vibration amplitudes) and pulsations in a low-pressure region of the fuel pump, it is proposed that the housing cap has at least one damping element, which is embodied as a sandwich construction having at least a first cover layer, a second cover layer, and a damping connection layer disposed between them. The damping connection layer has a markedly higher elasticity and/or higher material damping than the two cover layers, which may be constructed of sheet metal or the housing cap itself.