A bearing arrangement supporting a sealing bellows around a shaft to permit axial and angular motion includes inner and outer bearing sleeves, and a rolling bearing having an inner race ring fitted around the inner sleeve with one end face engaging a shoulder in the inner sleeve. A sealing device is provided in a space between the inner and outer sleeves. A flexible elongated bellows for enclosing a portion of the shaft is sealingly connected at one end to the outer surface of the outer sleeve and is attachable at its opposite end to a fitting of a machine member from which the shaft projects. The outer sleeve is a sheet metal sleeve provided with an inwardly bent flange portion forming an engagement surface for the opposite side face of the rolling bearing. The bellows is fixedly attachable to the outer surface of the outer sleeve by bonding through vulcanization.