Abstract: The invention concerns a fabric made with biocompatible material filaments, shaped like an open-mesh unblocked weave forming, in the laps constituting, respectively the front (AV) and rear (AR) walls of the fabric, substantially polygonal cells providing the fabric at least in two perpendicular directions with substantially balanced dynamometric behaviour, said laps in the front and rear walls being linked by a bracing. The invention is characterized in that the bracing is provided by monofilaments of one of the laps forming one of the walls (AV and AR) of the reinforcement, each of said monofilaments forming, after a constant number of rows of meshes in its lap, a mesh (M) with one of the meshes (m3) of one of the laps of the other wall (AR and AV) of the fabric.