A glove stripping apparatus (15) for fully stripping a partially stripped elastomeric dip-moulded glove (2) from a hand-shaped dip-moulding former (4) comprises a gripping device (25) relatively movable with respect to a downwardly hanging cuff end portion (10), a gripping actuator (32), a stripping actuator (35) and a controller for controlling the operation of the actuators. The relative movement of the gripping device and the downwardly hanging cuff end portion is driven by the stripping actuator. The gripping device has first and second gripping members (24, 26) movable relative to each other by the gripping actuator. The gripping members provide opposed gripping surfaces (34, 36) for gripping the cuff end portion. The first gripping member and the second gripping member initially provide a horizontally extending gap between the gripping surfaces which receives the cuff end portion. The gripping members are moved to reduce the gap (40′) until the cuff end portion is restrained between the gripping surfaces with a beaded cuff end (3) of the glove being below the gap. The gripping members are moved downwardly (46) together towards the beaded cuff end so that the cuff end portion moves upwards relative to the gap until the beaded cuff end (3) is caught by the gap (40′). The downward movement is then continued until the glove is fully stripped from the dip-moulding former.