A mount for a railroad rail having an inner side turned toward another such rail and an outer side turned away from the other rail has a one-piece base supported on the ground under the one rail and formed with an upwardly open recess having inner and outer base flanks respectively generally under and parallel to the inner and outer sides, the outer base flank being formed as an inwardly overhanging ridge. An insert attached to the rail and received in the recess has respective inner and outer insert edges, the former of which is overhung by the ridge. An elastomeric body lies between the inner flank and inner edge and supports the insert in the base. Due to the overhang of the base edge, it is possible to make the base in one piece at least outward from a location underneath the rail. Thus there is no need to make the base from two parts split along a horizontal plane and requiring tedious assembly in the field.