A center bearing bush unit for a propeller shaft can effectively decrease the amount of large/small displacement that occurs in the propeller shaft during driving of a vehicle. A center bearing bush unit for a propeller shaft includes an inner pipe; an outer pipe disposed on a common axis as the inner pipe at the outside of the inner pipe; a cushion rubber attached between the inner and outer pipes, and having a plurality of voids disposed on the common axis; and a plurality of stoppers attached to the outer circumferential surface of the inner pipe while being spaced apart from the cushion rubber at a predetermined interval.