Abstract: A cylindrical mounting apparatus includes: a cylindrical mount having an elastic body elastically connecting an inner and outer sleeve disposed in mutually spaced-apart relation; and a bracket independent of the cylindrical mount and having a pair of support plates opposed to each other with a spacing therebetween. The mount is interposed between the pair of support plates and fastened to the bracket by a mounting bolt extending through a bore of the inner sleeve across the support plates. Two positioning protrusions protrude from an inside surface of one support plate toward the other, and a mounting plate is disposed on one axial end of the inner sleeve extending diametrically. A recessed engaging portion of the mounting plate is brought into engagement with the positioning projections to place the mounting plate in a predetermined position about its center axis on the support plate.