An assembly of a laminated glazed unit and a peripheral seal thereof, the laminated glazed unit consisting of a transparent structural block comprising at least one sheet, and optionally an external transparent protective sheet, wherein the structural block overhangs relative to the protective sheet, the peripheral seal having a first spacer part between the overhanging part of a main surface of the structural block closest to the protective sheet, and a windowpane retainer for clamping the laminated glazed unit in order to attach same to a mounting structure thereof, the peripheral seal having a second spacer part between the overhanging part of the main surface of the structural block furthest from the protective sheet, and the mounting structure, wherein at least one contact surface between said first spacer part and the windowpane retainer and/or between said second spacer part and the mounting structure approach(es) toward the structural block, from an edge of the latter toward a central part thereof.