A vehicle floating disc hub assembly includes a hub portion that includes a bearing housing provided on an inner circumferential surface such that a bearing coupled to an axle is mounted, a flange portion provided in one end in an axial direction, and a plurality of disc fastening grooves provided in the other end; and a disc portion mounted on the hub portion having a hub fastener to be fastened to the disc fastening groove through a fastening member corresponding to the disc fastening groove. The fastening member includes a spring clip mounted between the disc fastening groove and the hub fastener to form a contact force therewith, a spring plate formed to have an elastic force in the axial direction of the axle and placed in the spring clip, and a fastening bolt that couple to the hub fastener through the spring plate.