A fuel injector has a housing for an actuator (1), especially to a fuel injector with a connector of a contact stud support injection-molded thereto. The injector has a casing (10), disposed across at least part of the periphery of the actuator (1), and an actuator cover (20) placed on the casing (10). The actuator cover (20) is laser-welded to the casing (10) in an overlapping area (30) between the actuator cover (20) and the casing (10). According to a method for finishing the housing of a fuel injector having the aforementioned features, a laser beam used for a laser welding method is incident on the overlapping area (30) in a substantially perpendicular or substantially parallel orientation in relation to the axial direction (A) of the actuator (1) and laser-welds the actuator cover (20) to the casing (10).