The invention relates to a fuel injector with a holding body and a nozzle body which are joined together and which accommodate a coupler module which has a coupler body enclosed by a spring sleeve. The spring sleeve is open in a circumferential direction at a seam thereof which extends in the longitudinal direction. Either the wall thickness of the spring sleeve varies in the longitudinal direction, or a width of at least one hole geometry in the sheathing of the spring sleeve varies in the longitudinal direction.