The fuel-injection device is characterized by an especially low-noise design. The fuel-injection device includes at least one fuel injector and a fuel rail having at least one pipe connection, the fuel injector being introduced into a receiving bore of the pipe connection, and the fuel rail having a discharge opening to supply fuel to the fuel injector. Provided between the fuel injector and the fuel rail is a pressure-wave guide connecting both, in such a way such that dynamic pressure fluctuations in the fuel injector are able to be routed largely past the volume of the receiving bore of the pipe connection. The fuel-injection device is especially suitable for the direct injection of fuel into a combustion chamber of a mixture-compressing internal combustion engine having external ignition, but it is also suitable for the injection of fuel into an intake manifold.