The present invention is a novel, disaster-resistant structure (such as a building, room, closet, enclosure, or wall) and a method for constructing or assembling the structure securely to a body of cast material such as a foundation, grade beam base, platform, slab or floor that incorporates flexible cables to resist the very high loads or impact of debris and other hazards that may occur due to high winds, tornadoes, earthquakes, or other severe storms. The structure is secured to the body of cast material by at least one flexible cable. The flexible cable can be comprised of any member from a group of cables, wires, ropes, strings, or threads. The flexible cable can also be made from a wide range of materials including steel, other metals, nylon, manila, polypropylene, polyester, polyethylene, Kevlar, Nomex or polyimides. Typical construction methods for a body of cast material include building a form work or frame that defines the shape and dimensions of the body of cast material. In the preferred embodime