To provide a fitting structure of a center bearing support 2 favorably restraining amplitude of the propeller shaft 1F.

A center bearing support 2 comprising an inner ring 21 engaged with outer periphery of a center bearing 3 rotatably supporting the rear end vicinity of the propeller shaft 1F, an outer ring 22 arranged on the outer peripheral side of the inner ring and fixed on the vehicle body, and an elastic support body 23 connecting both the rings 21, 22 is fixed in a manner that the elastic support body 23 is bent projecting to the opposite direction of the centrifugal whirling fulcrum of the propeller shaft 1F. A flange-like dust cover 233 projecting so as to block inside space S of the bent portion 231 of the elastic support body 23 is integrally formed with the elastic support body 23 on the outer periphery of the inner ring 21.