Abstract: A draping apparatus for covering dental and medical equipment and appendages extending therefrom such as water hoses, electric cords and the like. The apparatus includes an elongated sleeve and a ring-like element mounted on one end of the sleeve, the ring-like element being sufficiently rigid to define the periphery of the opening to the sleeve to permit an operator to grasp the same and pull the ring and sleeve over the instrument and appendages. Preferably, the apparatus is packaged in an enclosure attached to the ring-like element and adapted to be severed therefrom so that one end of the sleeve can be held in one hand of the operator and the other end to which the ring-like element is attached can be pulled over the instrument and its appendage.