Bi-directional and multi-axial fabrics, fabric composites, ballistically resistant assemblies thereof, and the methods by which they are made. The fabrics are comprised of sets of strong, substantially parallel, unidirectional yarns lying in parallel planes, one above the other , with the direction of the yarns in a given plane rotated at an angle to the direction of the yarns in adjacent planes; and one or more sets of yarns having lower strength and higher elongation interleaved with the strong yarns.The fabrics of the invention provide superior ballistic effectiveness compared to ordinary woven and knitted fabrics but retain the ease of manufacture on conventional looms and knitting machines.