A linked multilayer woven fabric for use in the production of structural composite materials has a base weave comprising twenty-eight weft yarns which are distributed in eight columns containing alternately four superimposed yarns and three superimposed yarns such that they are in a staggered arrangement on seven levels, and twelve warp yarns which are arranged in four parallel planes each containing three superimposed parallel warp yarns. In each plane, one of the warp yarns connects the upper outermost weft yarn of one of the weft columns containing four weft yarns to the corresponding weft yarn of the following base weave group via the upper intermediate weft yarn of the weft column midway between the other two columns, a second of the warp yarns connects the upper intermediate weft yarn of said one column to the corresponding weft yarn of the following base weave group via the lower intermediate weft yarn of said midway column, and the third warp yarn connects the lower intermediate weft yarn of said one column to the corresponding weft yarn of the following base weave group via the lower outermost weft yarn of said midway column.