A composite hook and loop fastener in the form of an elongated strip has an elongated loop component, a hook component permanently affixed to the loop component, and a backing layer disposed on a face of the wrap tie in a discrete region. The backing layer is used for permanent attachment of the wrap tie to a supporting surface. One end of the loop component is available for encircling an object to be wrapped and engaging the fastener elements of the hook component. The loop component has a self-supporting web of entangled fibers, the fibers forming both a sheet-form body and hook-engageable, free-standing loops extending from at least one surface of the body, and the hook component has fastener elements extending from a common base. The backing layer may be a pressure sensitive adhesive or a synthetic resin.