Abstract: The present invention is generally directed towards clamps for high tension load applications. In particular, the invention relates to high holding power clamps in which fabric can be secured, and which can withstand a large amount of force, including, in at least some embodiments, the maximum amount of tension permitted in various modern high strength fabrics and/or fiber weaves. In at least one embodiment, a holding clamp has a single-V design, with at least three areas that exert pinching effects on fabric held in the clamp, and at least four capstan areas that exert capstan effects on the clamped fabric. In at least a further embodiment, a holding clamp has a double-V design, with at least six areas that exert pinching effects on fabric held in the clamp, and at least seven capstan areas that exert capstan effects on the clamped fabric.