A fuel reforming apparatus (20) for reforming hydrocarbon-based fuel into hydrogen-rich fuel gas comprises a reforming reactor (30) for reforming the hydrocarbon-based fuel into a reformed gas containing hydrogen and carbon monoxide; a water gas shift reactor (34) for converting steam and carbon monoxide into hydrogen and carbon dioxide; a connector (32) for connecting the reforming reactor (30) and the water gas shift reactor (34) to allow the reformed gas from the reforming reactor (30) to be fed to the water gas shift reactor (32), the connector including a reformed gas permeable member disposed proximate to the reforming reactor (30); and liquid water feeding means (31) for feeding liquid water to the reformed gas permeable member. The reformed gas permeable member has a plurality of gaps or capillaries capable of passing the reformed gas from the reforming reactor (30).