A woven webbing for use in a tiedown or sling for lifting, restraint or other material handling functions. The woven webbing includes a central portion and tubular edges. The central portion has a top surface and an oppositely facing bottom surface. The top surface and bottom surface may be woven in a first pattern for strength and abrasion resistance while remaining flexible. The tubular edges extend from either side of the central portion. The tubular edges may be woven in a second pattern to improve the cut resistance of the tubular edges. The tubular edges have interior cavities which may include twisted floating yarn extending therethrough to enhance the cut resistance of the tubular edges. The tubular edges may include a high modulus yarn material which changes the orientation of the yarn material away from the axial direction of tension when a load is applied to the webbing.