An apparatus for dispensing a disposable glove and applying it to the hand of a user in which a stream of air drawn into an enclosed glove applying chamber through a constricted opening aligned with the heel of the glove inflates the topmost glove in a stack of gloves in the chamber so that a user can readily insert his hand into the glove. After the user has donned the glove on the hand, a wall of the chamber is opened to permit the user to readily withdraw his hand from the glove applying chamber while the air flow which originally inflated the top-most glove is disrupted. Upon closures of the chamber wall, the re-established air flow automatically inflates the next lower glove in the glove stack to prepare the next glove for receipt of another hand. The apparatus alternatively or in addition includes a glove removal chamber arranged to remove a glove from a gloved hand using a stream of air drawn into the glove removal chamber.