A multistage shaft sealing apparatus includes a first sealing unit, a second sealing unit, and a third sealing unit provided, in a sequential order from a side of the apparatus closer to inside of the apparatus, in a fluid leakage passage formed between the rotating shaft or the rotating member and a housing located to surround the rotating shaft or the rotating member. The first sealing unit includes a first runner and a first sealing ring which form a non-contact-type sealing surface; the second sealing unit includes a second runner and a second sealing ring which form a contact-type sealing surface; the third sealing unit includes a third runner and a third sealing ring which form a contact-type sealing surface, and a purge water supply passage supplying purge water to the third sealing unit and a purge water discharge passage discharging the purge water supplied to the third sealing unit.