Disclosed herein are a humidification apparatus having a disc assembly, and a disc assembly thereof. The disc assembly includes at least one disc member assembled by stacking, a first clamp disposed at one side of the at least one disc member, and a second clamp disposed at the other side of the at least one disc member. Each of the at least one disc member includes at least one recess part indented on the edge thereof, and the first clamp includes at least one recess connection part inserted into the at least one recess part so as to prevent movement of the at least one disc member.