Abstract: An anti-vandalism nut assembly joins two or more structures and includes a threaded bolt and a specially designed nut which is assembled through the use of another threaded element. Two nuts are each formed with a rectangular or square base and four sloping sides providing a pyramid-like construction extending upwardly from the base. The inner securing nut cannot be rotated by conventional tools when seated tightly in place because of the sloping construction. In assembly or dis-assembly, the outer nut is threaded on the bolt and spaced from the inner nut so that a conventional tool may be wedged between the two nuts for gripping both nuts securely for selective rotation.