A fabric processing apparatus is provided that is capable of refreshing fabric articles and then maintaining the refreshed state of the fabric articles while they remain stored in a processing space of the apparatus. Condensed fluid generated in the processing space and in a condensing chamber, and fluid remaining in a steam supplying device after processing, are directed to a storage unit through corresponding fluid discharging channels. The flow of fluid through the fluid discharging channels is controlled by corresponding fluid discharge valves so that moisture and odors generated by fluid accumulated in the storage unit cannot flow back into processing space and contaminate the refreshed fabric articles.