A tethering system is provided for a washing machine having a hung strut suspension. The tethering system includes a pair of pulleys or cams pivotally mounted in the cabinet. A pair of subframe straps are secured between the cams and the subframe of the hung assembly. An anti-rotation strap extends partially around the tub with opposite ends secured to the cams. When the tub of the machine is filled with water, the hung assembly moves downwardly due to the weight of the water, thereby rotating the cams which tighten the anti-rotation strap into frictional engagement with the tub. Thus rotation and oscillation of the tub is prevented during the agitation and low speed spin cycles of the machine.