A tear away diaper fastening system including a segment of loop material having a plurality of outwardly projecting loop elements adapted to engage cooperating hooking elements in juxtaposed contacting relation. The loop material includes a composite sheet of stitch bonded construction including a polymer film substrate layer. A first plurality of yarn elements extends in stitched relation through the substrate layer to define a plurality of parallel stitch lines of flat stitches extending along the machine direction of the sheet material to form a ground layer substantially covering an upper surface of the substrate layer. A second plurality of yarn elements extends in stitched relation through the substrate layer in zigzag crossing relation between parallel needle lines to define a plurality of raised loops extending above the ground layer.