A flexible dishwashing accessory having elongate flexible cords attached at their ends to attachment members which in turn attach the accessory to a rack such as is used for cleaning, rinsing, drying or storing eating or cooking utensils. The accessory is used by placing utensils in contact with at least one flexible cord such that the utensil stretches the cord to create a pressure on the utensil sufficient to hold it in place when subjected to jets of water or air such as are generated by dishwashing machines or the like. The attachment member may be attachable to the rack by means of a hook, or may contain notches which secure it to the rack. Alternatively, the flexible cord may be attached directly to the rack and secured in place by the attachment member.