A fuel injector has a valve nozzle defining a fuel-injection port downstream of a fuel passage. The fuel-injection port is inclined toward a nozzle periphery from a fuel-inlet to a fuel-outlet. A valve needle is capable of moving in a valve-opening direction to open the fuel-injection port so that a fuel flowing into the fuel-inlet from the nozzle periphery is injected into an internal combustion engine. The fuel-injection port has an upstream-portion defining the fuel-inlet, and a downstream-portion defining the fuel-outlet. The downstream-portion is smoothly connected to the upstream-portion at a position most close to a center of the valve nozzle, and the downstream-portion is offset toward the nozzle periphery relative to the upstream-portion, so that the upstream-portion and the downstream-portion forms a step surface therebetween. The step surface is eccentric to a center line of the upstream-portion.