A covering system includes a tarp made of an elastic membrane and a plurality of tarp fastening hooks. The fastening hooks allow the elastic membrane to be stretched over valuables and affixed to environmental anchors so that creases and puddle-enabling pockets in the membrane are eliminated. The fastening hooks clamp onto the elastic membrane and hook onto the environmental anchors to cause tension in the membrane. The clamping forces of the tarp fasteners are inherently increased in proportion to the tension in the clamped membrane.