A bumper fixture is interposed between an extended-directional end portion of a bumper (2) and an auto body (B) as to extend the extended-directional end portion of the bumper mounted on the auto body (B) to form a part of a wheel house (43). The bumper fixture (10) includes a mounting portion mountable to an extended-directional outer end wall of the bumper (2) on one extended-directional end portion of the bumper, and the mounting portion is elastically deformable by a greater than predetermined load. A bumper mounting structure includes the bumper fixture (10) such that an extended directional outer end wall (45) of the bumper (2) is mounted on the mounting portion.