A fuel injector including a fuel intake, having an excitable actuating device using which a valve-closure member can be moved, having a fixed valve seat configured on a valve seat element, with which valve-closure member cooperates for opening and closing the valve. Also included in the fuel injector are a fuel outlet provided downstream of the valve seat, and a sleeve-shaped connecting part, that has an interior longitudinal opening and that receives the valve seat element. The thin-wall connecting part has formations that increase the rigidity and prevent a bending or a folding of the connecting part, the formations being executed in the shape of longitudinal creases. The valve is particularly well-suited for use in fuel injection systems of mixture-compressing, spark-ignited internal combustion engines.