A hydrogen fuel feeding system of a fuel cell system that has: a switching device for switching a reactor, that can carry out a reforming process and a regeneration process, between alternate statuses of a first status of feeding a reactant to the reactor while exhausting a fuel gas and a second status of feeding a gas for regeneration to the reactor while exhausting a regeneration exhaust gas; and a control apparatus for switching the switching device so that residual reforming gas, which is still remaining in the reactor before switching, is combusted in an exhaust air processor and not exhausted as the residual reforming gas without treatment when switching from the first status to the second status.