A radial tyre, in particular for a passenger vehicle or a van, having a lightweight belt structure (10) comprising a multilayer composite laminate (10a, 10b, 10c) having a specific construction, with a first layer (10a) of rubber (C1) reinforced with textile multifilament fibres twisted individually on themselves (110) and preferably made from a slightly heat-shrinking material, circumferential, for example nylon or polyester, said first layer mounted radially (in direction Z) over two other layers (10b, 10c) of rubber (respectively C2, C3) reinforced with single wires (120, 130) made of high-strength steel; this multilayer composite laminate makes it possible to reduce the weight and rolling resistance of the tyres, without reducing drift rigidity and therefore road behaviour, while providing equal rolling strength.